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Finding the Third Proportional to 124,511.63 and 186,859.13

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Solution

The third proportional to 124,511.63 and 186,859.13 is: 280,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,511.63 : 186,859.13 = 186,859.13 : x
  2. Step 2: Convert to fraction form
    124,511.63/186,859.13 = 186,859.13/x
  3. Step 3: Cross multiply
    124,511.63x = 186,859.13 × 186,859.13
  4. Step 4: Simplify right side
    124,511.63x = 34,916,332,595.77
  5. Step 5: Solve for x
    x = 34,916,332,595.77/124,511.63
  6. Step 6: Final answer
    x = 280,426.29

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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.