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Finding the Third Proportional to 91,292 and 136,326

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Solution

The third proportional to 91,292 and 136,326 is: 203,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,292 : 136,326 = 136,326 : x
  2. Step 2: Convert to fraction form
    91,292/136,326 = 136,326/x
  3. Step 3: Cross multiply
    91,292x = 136,326 × 136,326
  4. Step 4: Simplify right side
    91,292x = 18,584,778,276
  5. Step 5: Solve for x
    x = 18,584,778,276/91,292
  6. Step 6: Final answer
    x = 203,575.10

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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.