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Finding the Third Proportional to 71,480 and 152,202

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Solution

The third proportional to 71,480 and 152,202 is: 324,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,480 : 152,202 = 152,202 : x
  2. Step 2: Convert to fraction form
    71,480/152,202 = 152,202/x
  3. Step 3: Cross multiply
    71,480x = 152,202 × 152,202
  4. Step 4: Simplify right side
    71,480x = 23,165,448,804
  5. Step 5: Solve for x
    x = 23,165,448,804/71,480
  6. Step 6: Final answer
    x = 324,082.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.