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Finding the Third Proportional to 76,764 and 112,952

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Solution

The third proportional to 76,764 and 112,952 is: 166,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764 : 112,952 = 112,952 : x
  2. Step 2: Convert to fraction form
    76,764/112,952 = 112,952/x
  3. Step 3: Cross multiply
    76,764x = 112,952 × 112,952
  4. Step 4: Simplify right side
    76,764x = 12,758,154,304
  5. Step 5: Solve for x
    x = 12,758,154,304/76,764
  6. Step 6: Final answer
    x = 166,199.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.