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Finding the Third Proportional to 107,602 and 250,045

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Solution

The third proportional to 107,602 and 250,045 is: 581,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,602 : 250,045 = 250,045 : x
  2. Step 2: Convert to fraction form
    107,602/250,045 = 250,045/x
  3. Step 3: Cross multiply
    107,602x = 250,045 × 250,045
  4. Step 4: Simplify right side
    107,602x = 62,522,502,025
  5. Step 5: Solve for x
    x = 62,522,502,025/107,602
  6. Step 6: Final answer
    x = 581,053.34

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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.