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Finding the Third Proportional to 76,656 and 116,368

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Solution

The third proportional to 76,656 and 116,368 is: 176,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 116,368 = 116,368 : x
  2. Step 2: Convert to fraction form
    76,656/116,368 = 116,368/x
  3. Step 3: Cross multiply
    76,656x = 116,368 × 116,368
  4. Step 4: Simplify right side
    76,656x = 13,541,511,424
  5. Step 5: Solve for x
    x = 13,541,511,424/76,656
  6. Step 6: Final answer
    x = 176,652.99

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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.