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Finding the Third Proportional to 40,598 and 88,555

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Solution

The third proportional to 40,598 and 88,555 is: 193,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,598 : 88,555 = 88,555 : x
  2. Step 2: Convert to fraction form
    40,598/88,555 = 88,555/x
  3. Step 3: Cross multiply
    40,598x = 88,555 × 88,555
  4. Step 4: Simplify right side
    40,598x = 7,841,988,025
  5. Step 5: Solve for x
    x = 7,841,988,025/40,598
  6. Step 6: Final answer
    x = 193,161.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.