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Finding the Third Proportional to 76,176 and 115,962.75

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Solution

The third proportional to 76,176 and 115,962.75 is: 176,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 115,962.75 = 115,962.75 : x
  2. Step 2: Convert to fraction form
    76,176/115,962.75 = 115,962.75/x
  3. Step 3: Cross multiply
    76,176x = 115,962.75 × 115,962.75
  4. Step 4: Simplify right side
    76,176x = 13,447,359,387.56
  5. Step 5: Solve for x
    x = 13,447,359,387.56/76,176
  6. Step 6: Final answer
    x = 176,530.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.