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Finding the Third Proportional to 60,038 and 138,978

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Solution

The third proportional to 60,038 and 138,978 is: 321,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,038 : 138,978 = 138,978 : x
  2. Step 2: Convert to fraction form
    60,038/138,978 = 138,978/x
  3. Step 3: Cross multiply
    60,038x = 138,978 × 138,978
  4. Step 4: Simplify right side
    60,038x = 19,314,884,484
  5. Step 5: Solve for x
    x = 19,314,884,484/60,038
  6. Step 6: Final answer
    x = 321,710.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.