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Finding the Third Proportional to 82,952 and 125,964

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Solution

The third proportional to 82,952 and 125,964 is: 191,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952 : 125,964 = 125,964 : x
  2. Step 2: Convert to fraction form
    82,952/125,964 = 125,964/x
  3. Step 3: Cross multiply
    82,952x = 125,964 × 125,964
  4. Step 4: Simplify right side
    82,952x = 15,866,929,296
  5. Step 5: Solve for x
    x = 15,866,929,296/82,952
  6. Step 6: Final answer
    x = 191,278.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.