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Finding the Third Proportional to 124,248 and 165,538

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Solution

The third proportional to 124,248 and 165,538 is: 220,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,248 : 165,538 = 165,538 : x
  2. Step 2: Convert to fraction form
    124,248/165,538 = 165,538/x
  3. Step 3: Cross multiply
    124,248x = 165,538 × 165,538
  4. Step 4: Simplify right side
    124,248x = 27,402,829,444
  5. Step 5: Solve for x
    x = 27,402,829,444/124,248
  6. Step 6: Final answer
    x = 220,549.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.