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Finding the Third Proportional to 91,392 and 137,088

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Solution

The third proportional to 91,392 and 137,088 is: 205,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,392 : 137,088 = 137,088 : x
  2. Step 2: Convert to fraction form
    91,392/137,088 = 137,088/x
  3. Step 3: Cross multiply
    91,392x = 137,088 × 137,088
  4. Step 4: Simplify right side
    91,392x = 18,793,119,744
  5. Step 5: Solve for x
    x = 18,793,119,744/91,392
  6. Step 6: Final answer
    x = 205,632

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.