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Finding the Third Proportional to 91,632 and 138,724

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Solution

The third proportional to 91,632 and 138,724 is: 210,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,632 : 138,724 = 138,724 : x
  2. Step 2: Convert to fraction form
    91,632/138,724 = 138,724/x
  3. Step 3: Cross multiply
    91,632x = 138,724 × 138,724
  4. Step 4: Simplify right side
    91,632x = 19,244,348,176
  5. Step 5: Solve for x
    x = 19,244,348,176/91,632
  6. Step 6: Final answer
    x = 210,017.77

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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.