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Finding the Third Proportional to 91,368 and 136,674

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Solution

The third proportional to 91,368 and 136,674 is: 204,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,368 : 136,674 = 136,674 : x
  2. Step 2: Convert to fraction form
    91,368/136,674 = 136,674/x
  3. Step 3: Cross multiply
    91,368x = 136,674 × 136,674
  4. Step 4: Simplify right side
    91,368x = 18,679,782,276
  5. Step 5: Solve for x
    x = 18,679,782,276/91,368
  6. Step 6: Final answer
    x = 204,445.56

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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.