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Finding the Third Proportional to 64,416 and 98,545.50

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Solution

The third proportional to 64,416 and 98,545.50 is: 150,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,416 : 98,545.50 = 98,545.50 : x
  2. Step 2: Convert to fraction form
    64,416/98,545.50 = 98,545.50/x
  3. Step 3: Cross multiply
    64,416x = 98,545.50 × 98,545.50
  4. Step 4: Simplify right side
    64,416x = 9,711,215,570.25
  5. Step 5: Solve for x
    x = 9,711,215,570.25/64,416
  6. Step 6: Final answer
    x = 150,757.82

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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.