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Finding the Third Proportional to 41,102 and 88,440

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Solution

The third proportional to 41,102 and 88,440 is: 190,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102 : 88,440 = 88,440 : x
  2. Step 2: Convert to fraction form
    41,102/88,440 = 88,440/x
  3. Step 3: Cross multiply
    41,102x = 88,440 × 88,440
  4. Step 4: Simplify right side
    41,102x = 7,821,633,600
  5. Step 5: Solve for x
    x = 7,821,633,600/41,102
  6. Step 6: Final answer
    x = 190,298.13

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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.