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Finding the Third Proportional to 76,574 and 114,939

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Solution

The third proportional to 76,574 and 114,939 is: 172,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574 : 114,939 = 114,939 : x
  2. Step 2: Convert to fraction form
    76,574/114,939 = 114,939/x
  3. Step 3: Cross multiply
    76,574x = 114,939 × 114,939
  4. Step 4: Simplify right side
    76,574x = 13,210,973,721
  5. Step 5: Solve for x
    x = 13,210,973,721/76,574
  6. Step 6: Final answer
    x = 172,525.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.