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Finding the Third Proportional to 75,650 and 109,927.50

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Solution

The third proportional to 75,650 and 109,927.50 is: 159,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,650 : 109,927.50 = 109,927.50 : x
  2. Step 2: Convert to fraction form
    75,650/109,927.50 = 109,927.50/x
  3. Step 3: Cross multiply
    75,650x = 109,927.50 × 109,927.50
  4. Step 4: Simplify right side
    75,650x = 12,084,055,256.25
  5. Step 5: Solve for x
    x = 12,084,055,256.25/75,650
  6. Step 6: Final answer
    x = 159,736.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.