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Finding the Third Proportional to 73,074 and 159,386

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Solution

The third proportional to 73,074 and 159,386 is: 347,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,074 : 159,386 = 159,386 : x
  2. Step 2: Convert to fraction form
    73,074/159,386 = 159,386/x
  3. Step 3: Cross multiply
    73,074x = 159,386 × 159,386
  4. Step 4: Simplify right side
    73,074x = 25,403,896,996
  5. Step 5: Solve for x
    x = 25,403,896,996/73,074
  6. Step 6: Final answer
    x = 347,646.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.