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Finding the Third Proportional to 71,146 and 103,045

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Solution

The third proportional to 71,146 and 103,045 is: 149,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 103,045 = 103,045 : x
  2. Step 2: Convert to fraction form
    71,146/103,045 = 103,045/x
  3. Step 3: Cross multiply
    71,146x = 103,045 × 103,045
  4. Step 4: Simplify right side
    71,146x = 10,618,272,025
  5. Step 5: Solve for x
    x = 10,618,272,025/71,146
  6. Step 6: Final answer
    x = 149,246.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.