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Finding the Third Proportional to 96,528 and 204,708

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Solution

The third proportional to 96,528 and 204,708 is: 434,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,528 : 204,708 = 204,708 : x
  2. Step 2: Convert to fraction form
    96,528/204,708 = 204,708/x
  3. Step 3: Cross multiply
    96,528x = 204,708 × 204,708
  4. Step 4: Simplify right side
    96,528x = 41,905,365,264
  5. Step 5: Solve for x
    x = 41,905,365,264/96,528
  6. Step 6: Final answer
    x = 434,126.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.