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Finding the Third Proportional to 68,956 and 148,952

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Solution

The third proportional to 68,956 and 148,952 is: 321,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,956 : 148,952 = 148,952 : x
  2. Step 2: Convert to fraction form
    68,956/148,952 = 148,952/x
  3. Step 3: Cross multiply
    68,956x = 148,952 × 148,952
  4. Step 4: Simplify right side
    68,956x = 22,186,698,304
  5. Step 5: Solve for x
    x = 22,186,698,304/68,956
  6. Step 6: Final answer
    x = 321,751.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.