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Finding the Third Proportional to 125,527 and 188,290

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Solution

The third proportional to 125,527 and 188,290 is: 282,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,527 : 188,290 = 188,290 : x
  2. Step 2: Convert to fraction form
    125,527/188,290 = 188,290/x
  3. Step 3: Cross multiply
    125,527x = 188,290 × 188,290
  4. Step 4: Simplify right side
    125,527x = 35,453,124,100
  5. Step 5: Solve for x
    x = 35,453,124,100/125,527
  6. Step 6: Final answer
    x = 282,434.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.