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Finding the Third Proportional to 91,584 and 141,732

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Solution

The third proportional to 91,584 and 141,732 is: 219,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,584 : 141,732 = 141,732 : x
  2. Step 2: Convert to fraction form
    91,584/141,732 = 141,732/x
  3. Step 3: Cross multiply
    91,584x = 141,732 × 141,732
  4. Step 4: Simplify right side
    91,584x = 20,087,959,824
  5. Step 5: Solve for x
    x = 20,087,959,824/91,584
  6. Step 6: Final answer
    x = 219,339.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.