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Finding the Third Proportional to 107,352 and 161,757

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Solution

The third proportional to 107,352 and 161,757 is: 243,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,352 : 161,757 = 161,757 : x
  2. Step 2: Convert to fraction form
    107,352/161,757 = 161,757/x
  3. Step 3: Cross multiply
    107,352x = 161,757 × 161,757
  4. Step 4: Simplify right side
    107,352x = 26,165,327,049
  5. Step 5: Solve for x
    x = 26,165,327,049/107,352
  6. Step 6: Final answer
    x = 243,733.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.