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Finding the Third Proportional to 73,985 and 160,540

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Solution

The third proportional to 73,985 and 160,540 is: 348,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985 : 160,540 = 160,540 : x
  2. Step 2: Convert to fraction form
    73,985/160,540 = 160,540/x
  3. Step 3: Cross multiply
    73,985x = 160,540 × 160,540
  4. Step 4: Simplify right side
    73,985x = 25,773,091,600
  5. Step 5: Solve for x
    x = 25,773,091,600/73,985
  6. Step 6: Final answer
    x = 348,355.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.