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Finding the Third Proportional to 60,368 and 129,992

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Solution

The third proportional to 60,368 and 129,992 is: 279,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,368 : 129,992 = 129,992 : x
  2. Step 2: Convert to fraction form
    60,368/129,992 = 129,992/x
  3. Step 3: Cross multiply
    60,368x = 129,992 × 129,992
  4. Step 4: Simplify right side
    60,368x = 16,897,920,064
  5. Step 5: Solve for x
    x = 16,897,920,064/60,368
  6. Step 6: Final answer
    x = 279,915.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.