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Finding the Third Proportional to 76,014 and 117,711.75

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Solution

The third proportional to 76,014 and 117,711.75 is: 182,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014 : 117,711.75 = 117,711.75 : x
  2. Step 2: Convert to fraction form
    76,014/117,711.75 = 117,711.75/x
  3. Step 3: Cross multiply
    76,014x = 117,711.75 × 117,711.75
  4. Step 4: Simplify right side
    76,014x = 13,856,056,088.06
  5. Step 5: Solve for x
    x = 13,856,056,088.06/76,014
  6. Step 6: Final answer
    x = 182,282.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.