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Finding the Third Proportional to 102,552.75 and 215,470.13

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Solution

The third proportional to 102,552.75 and 215,470.13 is: 452,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552.75 : 215,470.13 = 215,470.13 : x
  2. Step 2: Convert to fraction form
    102,552.75/215,470.13 = 215,470.13/x
  3. Step 3: Cross multiply
    102,552.75x = 215,470.13 × 215,470.13
  4. Step 4: Simplify right side
    102,552.75x = 46,427,374,767.52
  5. Step 5: Solve for x
    x = 46,427,374,767.52/102,552.75
  6. Step 6: Final answer
    x = 452,717.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.