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Finding the Third Proportional to 52,750.13 and 112,419

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Solution

The third proportional to 52,750.13 and 112,419 is: 239,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750.13 : 112,419 = 112,419 : x
  2. Step 2: Convert to fraction form
    52,750.13/112,419 = 112,419/x
  3. Step 3: Cross multiply
    52,750.13x = 112,419 × 112,419
  4. Step 4: Simplify right side
    52,750.13x = 12,638,031,561
  5. Step 5: Solve for x
    x = 12,638,031,561/52,750.13
  6. Step 6: Final answer
    x = 239,582.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.