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Finding the Third Proportional to 109,077.75 and 167,602.50

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Solution

The third proportional to 109,077.75 and 167,602.50 is: 257,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,077.75 : 167,602.50 = 167,602.50 : x
  2. Step 2: Convert to fraction form
    109,077.75/167,602.50 = 167,602.50/x
  3. Step 3: Cross multiply
    109,077.75x = 167,602.50 × 167,602.50
  4. Step 4: Simplify right side
    109,077.75x = 28,090,598,006.25
  5. Step 5: Solve for x
    x = 28,090,598,006.25/109,077.75
  6. Step 6: Final answer
    x = 257,528.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.