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Finding the Third Proportional to 77,139 and 116,676

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Solution

The third proportional to 77,139 and 116,676 is: 176,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,139 : 116,676 = 116,676 : x
  2. Step 2: Convert to fraction form
    77,139/116,676 = 116,676/x
  3. Step 3: Cross multiply
    77,139x = 116,676 × 116,676
  4. Step 4: Simplify right side
    77,139x = 13,613,288,976
  5. Step 5: Solve for x
    x = 13,613,288,976/77,139
  6. Step 6: Final answer
    x = 176,477.38

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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.