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Finding the Third Proportional to 101,649 and 157,082

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Solution

The third proportional to 101,649 and 157,082 is: 242,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,649 : 157,082 = 157,082 : x
  2. Step 2: Convert to fraction form
    101,649/157,082 = 157,082/x
  3. Step 3: Cross multiply
    101,649x = 157,082 × 157,082
  4. Step 4: Simplify right side
    101,649x = 24,674,754,724
  5. Step 5: Solve for x
    x = 24,674,754,724/101,649
  6. Step 6: Final answer
    x = 242,744.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.