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Finding the Third Proportional to 125,577 and 188,365.50

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Solution

The third proportional to 125,577 and 188,365.50 is: 282,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,577 : 188,365.50 = 188,365.50 : x
  2. Step 2: Convert to fraction form
    125,577/188,365.50 = 188,365.50/x
  3. Step 3: Cross multiply
    125,577x = 188,365.50 × 188,365.50
  4. Step 4: Simplify right side
    125,577x = 35,481,561,590.25
  5. Step 5: Solve for x
    x = 35,481,561,590.25/125,577
  6. Step 6: Final answer
    x = 282,548.25

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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.