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Finding the Third Proportional to 45,124 and 71,514

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Solution

The third proportional to 45,124 and 71,514 is: 113,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,124 : 71,514 = 71,514 : x
  2. Step 2: Convert to fraction form
    45,124/71,514 = 71,514/x
  3. Step 3: Cross multiply
    45,124x = 71,514 × 71,514
  4. Step 4: Simplify right side
    45,124x = 5,114,252,196
  5. Step 5: Solve for x
    x = 5,114,252,196/45,124
  6. Step 6: Final answer
    x = 113,337.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.