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Finding the Third Proportional to 56,933 and 121,748.75

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Solution

The third proportional to 56,933 and 121,748.75 is: 260,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,933 : 121,748.75 = 121,748.75 : x
  2. Step 2: Convert to fraction form
    56,933/121,748.75 = 121,748.75/x
  3. Step 3: Cross multiply
    56,933x = 121,748.75 × 121,748.75
  4. Step 4: Simplify right side
    56,933x = 14,822,758,126.56
  5. Step 5: Solve for x
    x = 14,822,758,126.56/56,933
  6. Step 6: Final answer
    x = 260,354.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.