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Finding the Third Proportional to 107,260 and 157,766

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Solution

The third proportional to 107,260 and 157,766 is: 232,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,260 : 157,766 = 157,766 : x
  2. Step 2: Convert to fraction form
    107,260/157,766 = 157,766/x
  3. Step 3: Cross multiply
    107,260x = 157,766 × 157,766
  4. Step 4: Simplify right side
    107,260x = 24,890,110,756
  5. Step 5: Solve for x
    x = 24,890,110,756/107,260
  6. Step 6: Final answer
    x = 232,053.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.