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Finding the Third Proportional to 125,062 and 273,082

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Solution

The third proportional to 125,062 and 273,082 is: 596,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,062 : 273,082 = 273,082 : x
  2. Step 2: Convert to fraction form
    125,062/273,082 = 273,082/x
  3. Step 3: Cross multiply
    125,062x = 273,082 × 273,082
  4. Step 4: Simplify right side
    125,062x = 74,573,778,724
  5. Step 5: Solve for x
    x = 74,573,778,724/125,062
  6. Step 6: Final answer
    x = 596,294.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.