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Finding the Third Proportional to 62,308 and 137,082

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Solution

The third proportional to 62,308 and 137,082 is: 301,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308 : 137,082 = 137,082 : x
  2. Step 2: Convert to fraction form
    62,308/137,082 = 137,082/x
  3. Step 3: Cross multiply
    62,308x = 137,082 × 137,082
  4. Step 4: Simplify right side
    62,308x = 18,791,474,724
  5. Step 5: Solve for x
    x = 18,791,474,724/62,308
  6. Step 6: Final answer
    x = 301,590.08

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