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Finding the Third Proportional to 91,397.25 and 136,332

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Solution

The third proportional to 91,397.25 and 136,332 is: 203,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,397.25 : 136,332 = 136,332 : x
  2. Step 2: Convert to fraction form
    91,397.25/136,332 = 136,332/x
  3. Step 3: Cross multiply
    91,397.25x = 136,332 × 136,332
  4. Step 4: Simplify right side
    91,397.25x = 18,586,414,224
  5. Step 5: Solve for x
    x = 18,586,414,224/91,397.25
  6. Step 6: Final answer
    x = 203,358.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.