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Finding the Third Proportional to 125,758.50 and 190,264.50

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Solution

The third proportional to 125,758.50 and 190,264.50 is: 287,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,758.50 : 190,264.50 = 190,264.50 : x
  2. Step 2: Convert to fraction form
    125,758.50/190,264.50 = 190,264.50/x
  3. Step 3: Cross multiply
    125,758.50x = 190,264.50 × 190,264.50
  4. Step 4: Simplify right side
    125,758.50x = 36,200,579,960.25
  5. Step 5: Solve for x
    x = 36,200,579,960.25/125,758.50
  6. Step 6: Final answer
    x = 287,857.92

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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.