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Finding the Third Proportional to 91,432 and 137,148

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Solution

The third proportional to 91,432 and 137,148 is: 205,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,432 : 137,148 = 137,148 : x
  2. Step 2: Convert to fraction form
    91,432/137,148 = 137,148/x
  3. Step 3: Cross multiply
    91,432x = 137,148 × 137,148
  4. Step 4: Simplify right side
    91,432x = 18,809,573,904
  5. Step 5: Solve for x
    x = 18,809,573,904/91,432
  6. Step 6: Final answer
    x = 205,722

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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.