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Finding the Third Proportional to 75,050 and 115,071

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Solution

The third proportional to 75,050 and 115,071 is: 176,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,050 : 115,071 = 115,071 : x
  2. Step 2: Convert to fraction form
    75,050/115,071 = 115,071/x
  3. Step 3: Cross multiply
    75,050x = 115,071 × 115,071
  4. Step 4: Simplify right side
    75,050x = 13,241,335,041
  5. Step 5: Solve for x
    x = 13,241,335,041/75,050
  6. Step 6: Final answer
    x = 176,433.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.