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Finding the Third Proportional to 125,185.50 and 190,931

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Solution

The third proportional to 125,185.50 and 190,931 is: 291,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,185.50 : 190,931 = 190,931 : x
  2. Step 2: Convert to fraction form
    125,185.50/190,931 = 190,931/x
  3. Step 3: Cross multiply
    125,185.50x = 190,931 × 190,931
  4. Step 4: Simplify right side
    125,185.50x = 36,454,646,761
  5. Step 5: Solve for x
    x = 36,454,646,761/125,185.50
  6. Step 6: Final answer
    x = 291,205.03

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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.