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Finding the Third Proportional to 65,042 and 88,347

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Solution

The third proportional to 65,042 and 88,347 is: 120,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042 : 88,347 = 88,347 : x
  2. Step 2: Convert to fraction form
    65,042/88,347 = 88,347/x
  3. Step 3: Cross multiply
    65,042x = 88,347 × 88,347
  4. Step 4: Simplify right side
    65,042x = 7,805,192,409
  5. Step 5: Solve for x
    x = 7,805,192,409/65,042
  6. Step 6: Final answer
    x = 120,002.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.