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Finding the Third Proportional to 97,540 and 212,952

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Solution

The third proportional to 97,540 and 212,952 is: 464,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,540 : 212,952 = 212,952 : x
  2. Step 2: Convert to fraction form
    97,540/212,952 = 212,952/x
  3. Step 3: Cross multiply
    97,540x = 212,952 × 212,952
  4. Step 4: Simplify right side
    97,540x = 45,348,554,304
  5. Step 5: Solve for x
    x = 45,348,554,304/97,540
  6. Step 6: Final answer
    x = 464,922.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.