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Finding the Third Proportional to 84,534 and 124,353

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Solution

The third proportional to 84,534 and 124,353 is: 182,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534 : 124,353 = 124,353 : x
  2. Step 2: Convert to fraction form
    84,534/124,353 = 124,353/x
  3. Step 3: Cross multiply
    84,534x = 124,353 × 124,353
  4. Step 4: Simplify right side
    84,534x = 15,463,668,609
  5. Step 5: Solve for x
    x = 15,463,668,609/84,534
  6. Step 6: Final answer
    x = 182,928.39

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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.