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Finding the Third Proportional to 103,654 and 160,063

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Solution

The third proportional to 103,654 and 160,063 is: 247,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654 : 160,063 = 160,063 : x
  2. Step 2: Convert to fraction form
    103,654/160,063 = 160,063/x
  3. Step 3: Cross multiply
    103,654x = 160,063 × 160,063
  4. Step 4: Simplify right side
    103,654x = 25,620,163,969
  5. Step 5: Solve for x
    x = 25,620,163,969/103,654
  6. Step 6: Final answer
    x = 247,170.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.