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Finding the Third Proportional to 84,532 and 124,350

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Solution

The third proportional to 84,532 and 124,350 is: 182,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,532 : 124,350 = 124,350 : x
  2. Step 2: Convert to fraction form
    84,532/124,350 = 124,350/x
  3. Step 3: Cross multiply
    84,532x = 124,350 × 124,350
  4. Step 4: Simplify right side
    84,532x = 15,462,922,500
  5. Step 5: Solve for x
    x = 15,462,922,500/84,532
  6. Step 6: Final answer
    x = 182,923.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.