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Finding the Third Proportional to 124,542 and 186,964

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Solution

The third proportional to 124,542 and 186,964 is: 280,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,542 : 186,964 = 186,964 : x
  2. Step 2: Convert to fraction form
    124,542/186,964 = 186,964/x
  3. Step 3: Cross multiply
    124,542x = 186,964 × 186,964
  4. Step 4: Simplify right side
    124,542x = 34,955,537,296
  5. Step 5: Solve for x
    x = 34,955,537,296/124,542
  6. Step 6: Final answer
    x = 280,672.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.