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Finding the Third Proportional to 56,115 and 93,514

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Solution

The third proportional to 56,115 and 93,514 is: 155,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,115 : 93,514 = 93,514 : x
  2. Step 2: Convert to fraction form
    56,115/93,514 = 93,514/x
  3. Step 3: Cross multiply
    56,115x = 93,514 × 93,514
  4. Step 4: Simplify right side
    56,115x = 8,744,868,196
  5. Step 5: Solve for x
    x = 8,744,868,196/56,115
  6. Step 6: Final answer
    x = 155,838.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.