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Finding the Third Proportional to 125.02 and 187.03

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Solution

The third proportional to 125.02 and 187.03 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 187.03 = 187.03 : x
  2. Step 2: Convert to fraction form
    125.02/187.03 = 187.03/x
  3. Step 3: Cross multiply
    125.02x = 187.03 × 187.03
  4. Step 4: Simplify right side
    125.02x = 34,980.69
  5. Step 5: Solve for x
    x = 34,980.69/125.02
  6. Step 6: Final answer
    x = 279.81

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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.