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Finding the Third Proportional to 96,666 and 212,952

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Solution

The third proportional to 96,666 and 212,952 is: 469,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,666 : 212,952 = 212,952 : x
  2. Step 2: Convert to fraction form
    96,666/212,952 = 212,952/x
  3. Step 3: Cross multiply
    96,666x = 212,952 × 212,952
  4. Step 4: Simplify right side
    96,666x = 45,348,554,304
  5. Step 5: Solve for x
    x = 45,348,554,304/96,666
  6. Step 6: Final answer
    x = 469,126.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.