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Finding the Third Proportional to 60,632 and 91,786

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Solution

The third proportional to 60,632 and 91,786 is: 138,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,632 : 91,786 = 91,786 : x
  2. Step 2: Convert to fraction form
    60,632/91,786 = 91,786/x
  3. Step 3: Cross multiply
    60,632x = 91,786 × 91,786
  4. Step 4: Simplify right side
    60,632x = 8,424,669,796
  5. Step 5: Solve for x
    x = 8,424,669,796/60,632
  6. Step 6: Final answer
    x = 138,947.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.