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Finding the Third Proportional to 45,017 and 98,674

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Solution

The third proportional to 45,017 and 98,674 is: 216,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,017 : 98,674 = 98,674 : x
  2. Step 2: Convert to fraction form
    45,017/98,674 = 98,674/x
  3. Step 3: Cross multiply
    45,017x = 98,674 × 98,674
  4. Step 4: Simplify right side
    45,017x = 9,736,558,276
  5. Step 5: Solve for x
    x = 9,736,558,276/45,017
  6. Step 6: Final answer
    x = 216,286.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.