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Finding the Third Proportional to 71,290 and 153,580

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Solution

The third proportional to 71,290 and 153,580 is: 330,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290 : 153,580 = 153,580 : x
  2. Step 2: Convert to fraction form
    71,290/153,580 = 153,580/x
  3. Step 3: Cross multiply
    71,290x = 153,580 × 153,580
  4. Step 4: Simplify right side
    71,290x = 23,586,816,400
  5. Step 5: Solve for x
    x = 23,586,816,400/71,290
  6. Step 6: Final answer
    x = 330,857.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.