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Finding the Third Proportional to 72,060 and 109,082

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Solution

The third proportional to 72,060 and 109,082 is: 165,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,060 : 109,082 = 109,082 : x
  2. Step 2: Convert to fraction form
    72,060/109,082 = 109,082/x
  3. Step 3: Cross multiply
    72,060x = 109,082 × 109,082
  4. Step 4: Simplify right side
    72,060x = 11,898,882,724
  5. Step 5: Solve for x
    x = 11,898,882,724/72,060
  6. Step 6: Final answer
    x = 165,124.66

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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.