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Finding the Third Proportional to 76,534 and 115,092

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Solution

The third proportional to 76,534 and 115,092 is: 173,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,534 : 115,092 = 115,092 : x
  2. Step 2: Convert to fraction form
    76,534/115,092 = 115,092/x
  3. Step 3: Cross multiply
    76,534x = 115,092 × 115,092
  4. Step 4: Simplify right side
    76,534x = 13,246,168,464
  5. Step 5: Solve for x
    x = 13,246,168,464/76,534
  6. Step 6: Final answer
    x = 173,075.61

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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.