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Finding the Third Proportional to 96,632 and 144,502

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Solution

The third proportional to 96,632 and 144,502 is: 216,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,632 : 144,502 = 144,502 : x
  2. Step 2: Convert to fraction form
    96,632/144,502 = 144,502/x
  3. Step 3: Cross multiply
    96,632x = 144,502 × 144,502
  4. Step 4: Simplify right side
    96,632x = 20,880,828,004
  5. Step 5: Solve for x
    x = 20,880,828,004/96,632
  6. Step 6: Final answer
    x = 216,086.06

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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.