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Finding the Third Proportional to 76,656 and 119,646

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Solution

The third proportional to 76,656 and 119,646 is: 186,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 119,646 = 119,646 : x
  2. Step 2: Convert to fraction form
    76,656/119,646 = 119,646/x
  3. Step 3: Cross multiply
    76,656x = 119,646 × 119,646
  4. Step 4: Simplify right side
    76,656x = 14,315,165,316
  5. Step 5: Solve for x
    x = 14,315,165,316/76,656
  6. Step 6: Final answer
    x = 186,745.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.