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Finding the Third Proportional to 76,737.38 and 157,276.69

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Solution

The third proportional to 76,737.38 and 157,276.69 is: 322,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,737.38 : 157,276.69 = 157,276.69 : x
  2. Step 2: Convert to fraction form
    76,737.38/157,276.69 = 157,276.69/x
  3. Step 3: Cross multiply
    76,737.38x = 157,276.69 × 157,276.69
  4. Step 4: Simplify right side
    76,737.38x = 24,735,956,430.97
  5. Step 5: Solve for x
    x = 24,735,956,430.97/76,737.38
  6. Step 6: Final answer
    x = 322,345.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.