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Finding the Third Proportional to 60,534 and 133,082

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Solution

The third proportional to 60,534 and 133,082 is: 292,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,534 : 133,082 = 133,082 : x
  2. Step 2: Convert to fraction form
    60,534/133,082 = 133,082/x
  3. Step 3: Cross multiply
    60,534x = 133,082 × 133,082
  4. Step 4: Simplify right side
    60,534x = 17,710,818,724
  5. Step 5: Solve for x
    x = 17,710,818,724/60,534
  6. Step 6: Final answer
    x = 292,576.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.