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Finding the Third Proportional to 84,764.76 and 115,117.93

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Solution

The third proportional to 84,764.76 and 115,117.93 is: 156,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,764.76 : 115,117.93 = 115,117.93 : x
  2. Step 2: Convert to fraction form
    84,764.76/115,117.93 = 115,117.93/x
  3. Step 3: Cross multiply
    84,764.76x = 115,117.93 × 115,117.93
  4. Step 4: Simplify right side
    84,764.76x = 13,252,137,285.86
  5. Step 5: Solve for x
    x = 13,252,137,285.86/84,764.76
  6. Step 6: Final answer
    x = 156,340.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.