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Finding the Third Proportional to 98,972 and 207,662

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Solution

The third proportional to 98,972 and 207,662 is: 435,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,972 : 207,662 = 207,662 : x
  2. Step 2: Convert to fraction form
    98,972/207,662 = 207,662/x
  3. Step 3: Cross multiply
    98,972x = 207,662 × 207,662
  4. Step 4: Simplify right side
    98,972x = 43,123,506,244
  5. Step 5: Solve for x
    x = 43,123,506,244/98,972
  6. Step 6: Final answer
    x = 435,714.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.