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Finding the Third Proportional to 125,752.50 and 190,252.13

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Solution

The third proportional to 125,752.50 and 190,252.13 is: 287,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,752.50 : 190,252.13 = 190,252.13 : x
  2. Step 2: Convert to fraction form
    125,752.50/190,252.13 = 190,252.13/x
  3. Step 3: Cross multiply
    125,752.50x = 190,252.13 × 190,252.13
  4. Step 4: Simplify right side
    125,752.50x = 36,195,871,067.02
  5. Step 5: Solve for x
    x = 36,195,871,067.02/125,752.50
  6. Step 6: Final answer
    x = 287,834.21

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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.