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Finding the Third Proportional to 35,262 and 75,444.75

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Solution

The third proportional to 35,262 and 75,444.75 is: 161,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262 : 75,444.75 = 75,444.75 : x
  2. Step 2: Convert to fraction form
    35,262/75,444.75 = 75,444.75/x
  3. Step 3: Cross multiply
    35,262x = 75,444.75 × 75,444.75
  4. Step 4: Simplify right side
    35,262x = 5,691,910,302.56
  5. Step 5: Solve for x
    x = 5,691,910,302.56/35,262
  6. Step 6: Final answer
    x = 161,417.68

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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.