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Finding the Third Proportional to 77,568 and 117,000

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Solution

The third proportional to 77,568 and 117,000 is: 176,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568 : 117,000 = 117,000 : x
  2. Step 2: Convert to fraction form
    77,568/117,000 = 117,000/x
  3. Step 3: Cross multiply
    77,568x = 117,000 × 117,000
  4. Step 4: Simplify right side
    77,568x = 13,689,000,000
  5. Step 5: Solve for x
    x = 13,689,000,000/77,568
  6. Step 6: Final answer
    x = 176,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.