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Finding the Third Proportional to 39,514 and 88,416

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Solution

The third proportional to 39,514 and 88,416 is: 197,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,514 : 88,416 = 88,416 : x
  2. Step 2: Convert to fraction form
    39,514/88,416 = 88,416/x
  3. Step 3: Cross multiply
    39,514x = 88,416 × 88,416
  4. Step 4: Simplify right side
    39,514x = 7,817,389,056
  5. Step 5: Solve for x
    x = 7,817,389,056/39,514
  6. Step 6: Final answer
    x = 197,838.46

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.