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Finding the Third Proportional to 125,308 and 191,931

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Solution

The third proportional to 125,308 and 191,931 is: 293,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,308 : 191,931 = 191,931 : x
  2. Step 2: Convert to fraction form
    125,308/191,931 = 191,931/x
  3. Step 3: Cross multiply
    125,308x = 191,931 × 191,931
  4. Step 4: Simplify right side
    125,308x = 36,837,508,761
  5. Step 5: Solve for x
    x = 36,837,508,761/125,308
  6. Step 6: Final answer
    x = 293,975.71

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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.