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Finding the Third Proportional to 77,640.75 and 109,306.13

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Solution

The third proportional to 77,640.75 and 109,306.13 is: 153,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640.75 : 109,306.13 = 109,306.13 : x
  2. Step 2: Convert to fraction form
    77,640.75/109,306.13 = 109,306.13/x
  3. Step 3: Cross multiply
    77,640.75x = 109,306.13 × 109,306.13
  4. Step 4: Simplify right side
    77,640.75x = 11,947,828,962.52
  5. Step 5: Solve for x
    x = 11,947,828,962.52/77,640.75
  6. Step 6: Final answer
    x = 153,886.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.