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Finding the Third Proportional to 76,536 and 117,246

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Solution

The third proportional to 76,536 and 117,246 is: 179,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,536 : 117,246 = 117,246 : x
  2. Step 2: Convert to fraction form
    76,536/117,246 = 117,246/x
  3. Step 3: Cross multiply
    76,536x = 117,246 × 117,246
  4. Step 4: Simplify right side
    76,536x = 13,746,624,516
  5. Step 5: Solve for x
    x = 13,746,624,516/76,536
  6. Step 6: Final answer
    x = 179,609.92

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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.