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Finding the Third Proportional to 137,766 and 292,065

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Solution

The third proportional to 137,766 and 292,065 is: 619,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,766 : 292,065 = 292,065 : x
  2. Step 2: Convert to fraction form
    137,766/292,065 = 292,065/x
  3. Step 3: Cross multiply
    137,766x = 292,065 × 292,065
  4. Step 4: Simplify right side
    137,766x = 85,301,964,225
  5. Step 5: Solve for x
    x = 85,301,964,225/137,766
  6. Step 6: Final answer
    x = 619,180.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.