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Finding the Third Proportional to 91,006 and 140,304

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Solution

The third proportional to 91,006 and 140,304 is: 216,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,006 : 140,304 = 140,304 : x
  2. Step 2: Convert to fraction form
    91,006/140,304 = 140,304/x
  3. Step 3: Cross multiply
    91,006x = 140,304 × 140,304
  4. Step 4: Simplify right side
    91,006x = 19,685,212,416
  5. Step 5: Solve for x
    x = 19,685,212,416/91,006
  6. Step 6: Final answer
    x = 216,306.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.