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Finding the Third Proportional to 105,378.47 and 160,691.34

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Solution

The third proportional to 105,378.47 and 160,691.34 is: 245,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,378.47 : 160,691.34 = 160,691.34 : x
  2. Step 2: Convert to fraction form
    105,378.47/160,691.34 = 160,691.34/x
  3. Step 3: Cross multiply
    105,378.47x = 160,691.34 × 160,691.34
  4. Step 4: Simplify right side
    105,378.47x = 25,821,707,956.18
  5. Step 5: Solve for x
    x = 25,821,707,956.18/105,378.47
  6. Step 6: Final answer
    x = 245,037.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.