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Finding the Third Proportional to 73,622.25 and 116,766.14

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Solution

The third proportional to 73,622.25 and 116,766.14 is: 185,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,622.25 : 116,766.14 = 116,766.14 : x
  2. Step 2: Convert to fraction form
    73,622.25/116,766.14 = 116,766.14/x
  3. Step 3: Cross multiply
    73,622.25x = 116,766.14 × 116,766.14
  4. Step 4: Simplify right side
    73,622.25x = 13,634,331,596.46
  5. Step 5: Solve for x
    x = 13,634,331,596.46/73,622.25
  6. Step 6: Final answer
    x = 185,193.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.