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Finding the Third Proportional to 52,750 and 115,514

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Solution

The third proportional to 52,750 and 115,514 is: 252,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750 : 115,514 = 115,514 : x
  2. Step 2: Convert to fraction form
    52,750/115,514 = 115,514/x
  3. Step 3: Cross multiply
    52,750x = 115,514 × 115,514
  4. Step 4: Simplify right side
    52,750x = 13,343,484,196
  5. Step 5: Solve for x
    x = 13,343,484,196/52,750
  6. Step 6: Final answer
    x = 252,957.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.