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Finding the Third Proportional to 77,732 and 116,660

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Solution

The third proportional to 77,732 and 116,660 is: 175,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,732 : 116,660 = 116,660 : x
  2. Step 2: Convert to fraction form
    77,732/116,660 = 116,660/x
  3. Step 3: Cross multiply
    77,732x = 116,660 × 116,660
  4. Step 4: Simplify right side
    77,732x = 13,609,555,600
  5. Step 5: Solve for x
    x = 13,609,555,600/77,732
  6. Step 6: Final answer
    x = 175,083.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.