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Finding the Third Proportional to 60,842 and 91,014

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Solution

The third proportional to 60,842 and 91,014 is: 136,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,842 : 91,014 = 91,014 : x
  2. Step 2: Convert to fraction form
    60,842/91,014 = 91,014/x
  3. Step 3: Cross multiply
    60,842x = 91,014 × 91,014
  4. Step 4: Simplify right side
    60,842x = 8,283,548,196
  5. Step 5: Solve for x
    x = 8,283,548,196/60,842
  6. Step 6: Final answer
    x = 136,148.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.