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Finding the Third Proportional to 73,931 and 114,689

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Solution

The third proportional to 73,931 and 114,689 is: 177,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,931 : 114,689 = 114,689 : x
  2. Step 2: Convert to fraction form
    73,931/114,689 = 114,689/x
  3. Step 3: Cross multiply
    73,931x = 114,689 × 114,689
  4. Step 4: Simplify right side
    73,931x = 13,153,566,721
  5. Step 5: Solve for x
    x = 13,153,566,721/73,931
  6. Step 6: Final answer
    x = 177,916.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.