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Finding the Third Proportional to 71,395 and 93,832

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Solution

The third proportional to 71,395 and 93,832 is: 123,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,395 : 93,832 = 93,832 : x
  2. Step 2: Convert to fraction form
    71,395/93,832 = 93,832/x
  3. Step 3: Cross multiply
    71,395x = 93,832 × 93,832
  4. Step 4: Simplify right side
    71,395x = 8,804,444,224
  5. Step 5: Solve for x
    x = 8,804,444,224/71,395
  6. Step 6: Final answer
    x = 123,320.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.