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Finding the Third Proportional to 125,435.75 and 191,094.38

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Solution

The third proportional to 125,435.75 and 191,094.38 is: 291,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,435.75 : 191,094.38 = 191,094.38 : x
  2. Step 2: Convert to fraction form
    125,435.75/191,094.38 = 191,094.38/x
  3. Step 3: Cross multiply
    125,435.75x = 191,094.38 × 191,094.38
  4. Step 4: Simplify right side
    125,435.75x = 36,517,060,156.64
  5. Step 5: Solve for x
    x = 36,517,060,156.64/125,435.75
  6. Step 6: Final answer
    x = 291,121.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.