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Finding the Third Proportional to 125,740 and 188,608

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Solution

The third proportional to 125,740 and 188,608 is: 282,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,740 : 188,608 = 188,608 : x
  2. Step 2: Convert to fraction form
    125,740/188,608 = 188,608/x
  3. Step 3: Cross multiply
    125,740x = 188,608 × 188,608
  4. Step 4: Simplify right side
    125,740x = 35,572,977,664
  5. Step 5: Solve for x
    x = 35,572,977,664/125,740
  6. Step 6: Final answer
    x = 282,909.00

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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.