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Finding the Third Proportional to 120,464 and 178,952

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Solution

The third proportional to 120,464 and 178,952 is: 265,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,464 : 178,952 = 178,952 : x
  2. Step 2: Convert to fraction form
    120,464/178,952 = 178,952/x
  3. Step 3: Cross multiply
    120,464x = 178,952 × 178,952
  4. Step 4: Simplify right side
    120,464x = 32,023,818,304
  5. Step 5: Solve for x
    x = 32,023,818,304/120,464
  6. Step 6: Final answer
    x = 265,837.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.