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Finding the Third Proportional to 88,632 and 127,411.50

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Solution

The third proportional to 88,632 and 127,411.50 is: 183,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,632 : 127,411.50 = 127,411.50 : x
  2. Step 2: Convert to fraction form
    88,632/127,411.50 = 127,411.50/x
  3. Step 3: Cross multiply
    88,632x = 127,411.50 × 127,411.50
  4. Step 4: Simplify right side
    88,632x = 16,233,690,332.25
  5. Step 5: Solve for x
    x = 16,233,690,332.25/88,632
  6. Step 6: Final answer
    x = 183,158.34

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.