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Finding the Third Proportional to 53,598 and 108,654

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Solution

The third proportional to 53,598 and 108,654 is: 220,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,598 : 108,654 = 108,654 : x
  2. Step 2: Convert to fraction form
    53,598/108,654 = 108,654/x
  3. Step 3: Cross multiply
    53,598x = 108,654 × 108,654
  4. Step 4: Simplify right side
    53,598x = 11,805,691,716
  5. Step 5: Solve for x
    x = 11,805,691,716/53,598
  6. Step 6: Final answer
    x = 220,263.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.