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Finding the Third Proportional to 125.65 and 188.30

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Solution

The third proportional to 125.65 and 188.30 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.65 : 188.30 = 188.30 : x
  2. Step 2: Convert to fraction form
    125.65/188.30 = 188.30/x
  3. Step 3: Cross multiply
    125.65x = 188.30 × 188.30
  4. Step 4: Simplify right side
    125.65x = 35,455.71
  5. Step 5: Solve for x
    x = 35,455.71/125.65
  6. Step 6: Final answer
    x = 282.18

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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.