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Finding the Third Proportional to 41,101 and 88,753

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Solution

The third proportional to 41,101 and 88,753 is: 191,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,101 : 88,753 = 88,753 : x
  2. Step 2: Convert to fraction form
    41,101/88,753 = 88,753/x
  3. Step 3: Cross multiply
    41,101x = 88,753 × 88,753
  4. Step 4: Simplify right side
    41,101x = 7,877,095,009
  5. Step 5: Solve for x
    x = 7,877,095,009/41,101
  6. Step 6: Final answer
    x = 191,652.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.