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Finding the Third Proportional to 71,726 and 153,300

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Solution

The third proportional to 71,726 and 153,300 is: 327,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,726 : 153,300 = 153,300 : x
  2. Step 2: Convert to fraction form
    71,726/153,300 = 153,300/x
  3. Step 3: Cross multiply
    71,726x = 153,300 × 153,300
  4. Step 4: Simplify right side
    71,726x = 23,500,890,000
  5. Step 5: Solve for x
    x = 23,500,890,000/71,726
  6. Step 6: Final answer
    x = 327,648.13

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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.