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Finding the Third Proportional to 137,534 and 185,565

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Solution

The third proportional to 137,534 and 185,565 is: 250,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,534 : 185,565 = 185,565 : x
  2. Step 2: Convert to fraction form
    137,534/185,565 = 185,565/x
  3. Step 3: Cross multiply
    137,534x = 185,565 × 185,565
  4. Step 4: Simplify right side
    137,534x = 34,434,369,225
  5. Step 5: Solve for x
    x = 34,434,369,225/137,534
  6. Step 6: Final answer
    x = 250,369.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.