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Finding the Third Proportional to 73,080 and 157,817

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Solution

The third proportional to 73,080 and 157,817 is: 340,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080 : 157,817 = 157,817 : x
  2. Step 2: Convert to fraction form
    73,080/157,817 = 157,817/x
  3. Step 3: Cross multiply
    73,080x = 157,817 × 157,817
  4. Step 4: Simplify right side
    73,080x = 24,906,205,489
  5. Step 5: Solve for x
    x = 24,906,205,489/73,080
  6. Step 6: Final answer
    x = 340,807.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.