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Finding the Third Proportional to 105,113.50 and 236,540

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Solution

The third proportional to 105,113.50 and 236,540 is: 532,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,113.50 : 236,540 = 236,540 : x
  2. Step 2: Convert to fraction form
    105,113.50/236,540 = 236,540/x
  3. Step 3: Cross multiply
    105,113.50x = 236,540 × 236,540
  4. Step 4: Simplify right side
    105,113.50x = 55,951,171,600
  5. Step 5: Solve for x
    x = 55,951,171,600/105,113.50
  6. Step 6: Final answer
    x = 532,292.92

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.