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Finding the Third Proportional to 97,286 and 144,632

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Solution

The third proportional to 97,286 and 144,632 is: 215,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,286 : 144,632 = 144,632 : x
  2. Step 2: Convert to fraction form
    97,286/144,632 = 144,632/x
  3. Step 3: Cross multiply
    97,286x = 144,632 × 144,632
  4. Step 4: Simplify right side
    97,286x = 20,918,415,424
  5. Step 5: Solve for x
    x = 20,918,415,424/97,286
  6. Step 6: Final answer
    x = 215,019.79

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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.