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Finding the Third Proportional to 68,971 and 103,687

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Solution

The third proportional to 68,971 and 103,687 is: 155,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971 : 103,687 = 103,687 : x
  2. Step 2: Convert to fraction form
    68,971/103,687 = 103,687/x
  3. Step 3: Cross multiply
    68,971x = 103,687 × 103,687
  4. Step 4: Simplify right side
    68,971x = 10,750,993,969
  5. Step 5: Solve for x
    x = 10,750,993,969/68,971
  6. Step 6: Final answer
    x = 155,877.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.