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Finding the Third Proportional to 125,320 and 191,948

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Solution

The third proportional to 125,320 and 191,948 is: 293,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,320 : 191,948 = 191,948 : x
  2. Step 2: Convert to fraction form
    125,320/191,948 = 191,948/x
  3. Step 3: Cross multiply
    125,320x = 191,948 × 191,948
  4. Step 4: Simplify right side
    125,320x = 36,844,034,704
  5. Step 5: Solve for x
    x = 36,844,034,704/125,320
  6. Step 6: Final answer
    x = 293,999.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.