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Finding the Third Proportional to 52,594 and 114,691

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Solution

The third proportional to 52,594 and 114,691 is: 250,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594 : 114,691 = 114,691 : x
  2. Step 2: Convert to fraction form
    52,594/114,691 = 114,691/x
  3. Step 3: Cross multiply
    52,594x = 114,691 × 114,691
  4. Step 4: Simplify right side
    52,594x = 13,154,025,481
  5. Step 5: Solve for x
    x = 13,154,025,481/52,594
  6. Step 6: Final answer
    x = 250,105.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.