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Finding the Third Proportional to 98,532 and 204,070

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Solution

The third proportional to 98,532 and 204,070 is: 422,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 204,070 = 204,070 : x
  2. Step 2: Convert to fraction form
    98,532/204,070 = 204,070/x
  3. Step 3: Cross multiply
    98,532x = 204,070 × 204,070
  4. Step 4: Simplify right side
    98,532x = 41,644,564,900
  5. Step 5: Solve for x
    x = 41,644,564,900/98,532
  6. Step 6: Final answer
    x = 422,650.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.