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Finding the Third Proportional to 92,004 and 142,514

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Solution

The third proportional to 92,004 and 142,514 is: 220,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,004 : 142,514 = 142,514 : x
  2. Step 2: Convert to fraction form
    92,004/142,514 = 142,514/x
  3. Step 3: Cross multiply
    92,004x = 142,514 × 142,514
  4. Step 4: Simplify right side
    92,004x = 20,310,240,196
  5. Step 5: Solve for x
    x = 20,310,240,196/92,004
  6. Step 6: Final answer
    x = 220,753.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.