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Finding the Third Proportional to 125,534 and 275,950

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Solution

The third proportional to 125,534 and 275,950 is: 606,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,534 : 275,950 = 275,950 : x
  2. Step 2: Convert to fraction form
    125,534/275,950 = 275,950/x
  3. Step 3: Cross multiply
    125,534x = 275,950 × 275,950
  4. Step 4: Simplify right side
    125,534x = 76,148,402,500
  5. Step 5: Solve for x
    x = 76,148,402,500/125,534
  6. Step 6: Final answer
    x = 606,595.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.