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Finding the Third Proportional to 77,911.88 and 116,355.23

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Solution

The third proportional to 77,911.88 and 116,355.23 is: 173,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,911.88 : 116,355.23 = 116,355.23 : x
  2. Step 2: Convert to fraction form
    77,911.88/116,355.23 = 116,355.23/x
  3. Step 3: Cross multiply
    77,911.88x = 116,355.23 × 116,355.23
  4. Step 4: Simplify right side
    77,911.88x = 13,538,540,566.46
  5. Step 5: Solve for x
    x = 13,538,540,566.46/77,911.88
  6. Step 6: Final answer
    x = 173,767.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.