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Finding the Third Proportional to 72,414 and 95,445

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Solution

The third proportional to 72,414 and 95,445 is: 125,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414 : 95,445 = 95,445 : x
  2. Step 2: Convert to fraction form
    72,414/95,445 = 95,445/x
  3. Step 3: Cross multiply
    72,414x = 95,445 × 95,445
  4. Step 4: Simplify right side
    72,414x = 9,109,748,025
  5. Step 5: Solve for x
    x = 9,109,748,025/72,414
  6. Step 6: Final answer
    x = 125,800.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.