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Finding the Third Proportional to 52,327 and 74,730

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Solution

The third proportional to 52,327 and 74,730 is: 106,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,327 : 74,730 = 74,730 : x
  2. Step 2: Convert to fraction form
    52,327/74,730 = 74,730/x
  3. Step 3: Cross multiply
    52,327x = 74,730 × 74,730
  4. Step 4: Simplify right side
    52,327x = 5,584,572,900
  5. Step 5: Solve for x
    x = 5,584,572,900/52,327
  6. Step 6: Final answer
    x = 106,724.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.