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Finding the Third Proportional to 125,959 and 190,154

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Solution

The third proportional to 125,959 and 190,154 is: 287,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,959 : 190,154 = 190,154 : x
  2. Step 2: Convert to fraction form
    125,959/190,154 = 190,154/x
  3. Step 3: Cross multiply
    125,959x = 190,154 × 190,154
  4. Step 4: Simplify right side
    125,959x = 36,158,543,716
  5. Step 5: Solve for x
    x = 36,158,543,716/125,959
  6. Step 6: Final answer
    x = 287,065.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.