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Finding the Third Proportional to 76,922.16 and 116,409.66

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Solution

The third proportional to 76,922.16 and 116,409.66 is: 176,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922.16 : 116,409.66 = 116,409.66 : x
  2. Step 2: Convert to fraction form
    76,922.16/116,409.66 = 116,409.66/x
  3. Step 3: Cross multiply
    76,922.16x = 116,409.66 × 116,409.66
  4. Step 4: Simplify right side
    76,922.16x = 13,551,208,068.24
  5. Step 5: Solve for x
    x = 13,551,208,068.24/76,922.16
  6. Step 6: Final answer
    x = 176,167.81

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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.