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Finding the Third Proportional to 71,705.25 and 157,565.25

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Solution

The third proportional to 71,705.25 and 157,565.25 is: 346,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.25 : 157,565.25 = 157,565.25 : x
  2. Step 2: Convert to fraction form
    71,705.25/157,565.25 = 157,565.25/x
  3. Step 3: Cross multiply
    71,705.25x = 157,565.25 × 157,565.25
  4. Step 4: Simplify right side
    71,705.25x = 24,826,808,007.56
  5. Step 5: Solve for x
    x = 24,826,808,007.56/71,705.25
  6. Step 6: Final answer
    x = 346,234.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.