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Finding the Third Proportional to 91,253 and 136,514

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Solution

The third proportional to 91,253 and 136,514 is: 204,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,253 : 136,514 = 136,514 : x
  2. Step 2: Convert to fraction form
    91,253/136,514 = 136,514/x
  3. Step 3: Cross multiply
    91,253x = 136,514 × 136,514
  4. Step 4: Simplify right side
    91,253x = 18,636,072,196
  5. Step 5: Solve for x
    x = 18,636,072,196/91,253
  6. Step 6: Final answer
    x = 204,224.21

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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.