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Finding the Third Proportional to 69,120 and 148,068

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Solution

The third proportional to 69,120 and 148,068 is: 317,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,120 : 148,068 = 148,068 : x
  2. Step 2: Convert to fraction form
    69,120/148,068 = 148,068/x
  3. Step 3: Cross multiply
    69,120x = 148,068 × 148,068
  4. Step 4: Simplify right side
    69,120x = 21,924,132,624
  5. Step 5: Solve for x
    x = 21,924,132,624/69,120
  6. Step 6: Final answer
    x = 317,189.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.