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Finding the Third Proportional to 71,160 and 103,068

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Solution

The third proportional to 71,160 and 103,068 is: 149,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,160 : 103,068 = 103,068 : x
  2. Step 2: Convert to fraction form
    71,160/103,068 = 103,068/x
  3. Step 3: Cross multiply
    71,160x = 103,068 × 103,068
  4. Step 4: Simplify right side
    71,160x = 10,623,012,624
  5. Step 5: Solve for x
    x = 10,623,012,624/71,160
  6. Step 6: Final answer
    x = 149,283.48

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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.