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Finding the Third Proportional to 107,612 and 250,070

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Solution

The third proportional to 107,612 and 250,070 is: 581,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,612 : 250,070 = 250,070 : x
  2. Step 2: Convert to fraction form
    107,612/250,070 = 250,070/x
  3. Step 3: Cross multiply
    107,612x = 250,070 × 250,070
  4. Step 4: Simplify right side
    107,612x = 62,535,004,900
  5. Step 5: Solve for x
    x = 62,535,004,900/107,612
  6. Step 6: Final answer
    x = 581,115.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.