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Finding the Third Proportional to 125,324 and 191,955

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Solution

The third proportional to 125,324 and 191,955 is: 294,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,324 : 191,955 = 191,955 : x
  2. Step 2: Convert to fraction form
    125,324/191,955 = 191,955/x
  3. Step 3: Cross multiply
    125,324x = 191,955 × 191,955
  4. Step 4: Simplify right side
    125,324x = 36,846,722,025
  5. Step 5: Solve for x
    x = 36,846,722,025/125,324
  6. Step 6: Final answer
    x = 294,011.70

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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.