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Finding the Third Proportional to 104,617.50 and 134,326.50

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Solution

The third proportional to 104,617.50 and 134,326.50 is: 172,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,617.50 : 134,326.50 = 134,326.50 : x
  2. Step 2: Convert to fraction form
    104,617.50/134,326.50 = 134,326.50/x
  3. Step 3: Cross multiply
    104,617.50x = 134,326.50 × 134,326.50
  4. Step 4: Simplify right side
    104,617.50x = 18,043,608,602.25
  5. Step 5: Solve for x
    x = 18,043,608,602.25/104,617.50
  6. Step 6: Final answer
    x = 172,472.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.