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Finding the Third Proportional to 125,756 and 193,008

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Solution

The third proportional to 125,756 and 193,008 is: 296,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,756 : 193,008 = 193,008 : x
  2. Step 2: Convert to fraction form
    125,756/193,008 = 193,008/x
  3. Step 3: Cross multiply
    125,756x = 193,008 × 193,008
  4. Step 4: Simplify right side
    125,756x = 37,252,088,064
  5. Step 5: Solve for x
    x = 37,252,088,064/125,756
  6. Step 6: Final answer
    x = 296,225.13

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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.