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Finding the Third Proportional to 49,356 and 108,540

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Solution

The third proportional to 49,356 and 108,540 is: 238,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 108,540 = 108,540 : x
  2. Step 2: Convert to fraction form
    49,356/108,540 = 108,540/x
  3. Step 3: Cross multiply
    49,356x = 108,540 × 108,540
  4. Step 4: Simplify right side
    49,356x = 11,780,931,600
  5. Step 5: Solve for x
    x = 11,780,931,600/49,356
  6. Step 6: Final answer
    x = 238,693.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.