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Finding the Third Proportional to 66,674 and 97,378

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Solution

The third proportional to 66,674 and 97,378 is: 142,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,674 : 97,378 = 97,378 : x
  2. Step 2: Convert to fraction form
    66,674/97,378 = 97,378/x
  3. Step 3: Cross multiply
    66,674x = 97,378 × 97,378
  4. Step 4: Simplify right side
    66,674x = 9,482,474,884
  5. Step 5: Solve for x
    x = 9,482,474,884/66,674
  6. Step 6: Final answer
    x = 142,221.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.