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Finding the Third Proportional to 125,342 and 191,985

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Solution

The third proportional to 125,342 and 191,985 is: 294,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,342 : 191,985 = 191,985 : x
  2. Step 2: Convert to fraction form
    125,342/191,985 = 191,985/x
  3. Step 3: Cross multiply
    125,342x = 191,985 × 191,985
  4. Step 4: Simplify right side
    125,342x = 36,858,240,225
  5. Step 5: Solve for x
    x = 36,858,240,225/125,342
  6. Step 6: Final answer
    x = 294,061.37

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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.