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Finding the Third Proportional to 62,416 and 95,710

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Solution

The third proportional to 62,416 and 95,710 is: 146,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,416 : 95,710 = 95,710 : x
  2. Step 2: Convert to fraction form
    62,416/95,710 = 95,710/x
  3. Step 3: Cross multiply
    62,416x = 95,710 × 95,710
  4. Step 4: Simplify right side
    62,416x = 9,160,404,100
  5. Step 5: Solve for x
    x = 9,160,404,100/62,416
  6. Step 6: Final answer
    x = 146,763.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.