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Finding the Third Proportional to 125,514.75 and 175,556.63

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Solution

The third proportional to 125,514.75 and 175,556.63 is: 245,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514.75 : 175,556.63 = 175,556.63 : x
  2. Step 2: Convert to fraction form
    125,514.75/175,556.63 = 175,556.63/x
  3. Step 3: Cross multiply
    125,514.75x = 175,556.63 × 175,556.63
  4. Step 4: Simplify right side
    125,514.75x = 30,820,128,581.39
  5. Step 5: Solve for x
    x = 30,820,128,581.39/125,514.75
  6. Step 6: Final answer
    x = 245,549.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.