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Finding the Third Proportional to 91,284 and 136,314

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Solution

The third proportional to 91,284 and 136,314 is: 203,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,284 : 136,314 = 136,314 : x
  2. Step 2: Convert to fraction form
    91,284/136,314 = 136,314/x
  3. Step 3: Cross multiply
    91,284x = 136,314 × 136,314
  4. Step 4: Simplify right side
    91,284x = 18,581,506,596
  5. Step 5: Solve for x
    x = 18,581,506,596/91,284
  6. Step 6: Final answer
    x = 203,557.10

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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.