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Finding the Third Proportional to 74,700 and 100,098

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Solution

The third proportional to 74,700 and 100,098 is: 134,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,700 : 100,098 = 100,098 : x
  2. Step 2: Convert to fraction form
    74,700/100,098 = 100,098/x
  3. Step 3: Cross multiply
    74,700x = 100,098 × 100,098
  4. Step 4: Simplify right side
    74,700x = 10,019,609,604
  5. Step 5: Solve for x
    x = 10,019,609,604/74,700
  6. Step 6: Final answer
    x = 134,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.