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Finding the Third Proportional to 77,352 and 123,082

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Solution

The third proportional to 77,352 and 123,082 is: 195,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352 : 123,082 = 123,082 : x
  2. Step 2: Convert to fraction form
    77,352/123,082 = 123,082/x
  3. Step 3: Cross multiply
    77,352x = 123,082 × 123,082
  4. Step 4: Simplify right side
    77,352x = 15,149,178,724
  5. Step 5: Solve for x
    x = 15,149,178,724/77,352
  6. Step 6: Final answer
    x = 195,847.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.