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Finding the Third Proportional to 77,616 and 116,878

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Solution

The third proportional to 77,616 and 116,878 is: 176,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,616 : 116,878 = 116,878 : x
  2. Step 2: Convert to fraction form
    77,616/116,878 = 116,878/x
  3. Step 3: Cross multiply
    77,616x = 116,878 × 116,878
  4. Step 4: Simplify right side
    77,616x = 13,660,466,884
  5. Step 5: Solve for x
    x = 13,660,466,884/77,616
  6. Step 6: Final answer
    x = 176,000.66

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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.