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Finding the Third Proportional to 71,907.75 and 112,556.25

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Solution

The third proportional to 71,907.75 and 112,556.25 is: 176,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907.75 : 112,556.25 = 112,556.25 : x
  2. Step 2: Convert to fraction form
    71,907.75/112,556.25 = 112,556.25/x
  3. Step 3: Cross multiply
    71,907.75x = 112,556.25 × 112,556.25
  4. Step 4: Simplify right side
    71,907.75x = 12,668,909,414.06
  5. Step 5: Solve for x
    x = 12,668,909,414.06/71,907.75
  6. Step 6: Final answer
    x = 176,182.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.