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Finding the Third Proportional to 41,480 and 88,780

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Solution

The third proportional to 41,480 and 88,780 is: 190,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,480 : 88,780 = 88,780 : x
  2. Step 2: Convert to fraction form
    41,480/88,780 = 88,780/x
  3. Step 3: Cross multiply
    41,480x = 88,780 × 88,780
  4. Step 4: Simplify right side
    41,480x = 7,881,888,400
  5. Step 5: Solve for x
    x = 7,881,888,400/41,480
  6. Step 6: Final answer
    x = 190,016.60

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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.