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Finding the Third Proportional to 125,988.75 and 190,981.13

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Solution

The third proportional to 125,988.75 and 190,981.13 is: 289,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,988.75 : 190,981.13 = 190,981.13 : x
  2. Step 2: Convert to fraction form
    125,988.75/190,981.13 = 190,981.13/x
  3. Step 3: Cross multiply
    125,988.75x = 190,981.13 × 190,981.13
  4. Step 4: Simplify right side
    125,988.75x = 36,473,790,106.27
  5. Step 5: Solve for x
    x = 36,473,790,106.27/125,988.75
  6. Step 6: Final answer
    x = 289,500.37

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