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Finding the Third Proportional to 73,890.14 and 117,020.32

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Solution

The third proportional to 73,890.14 and 117,020.32 is: 185,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,890.14 : 117,020.32 = 117,020.32 : x
  2. Step 2: Convert to fraction form
    73,890.14/117,020.32 = 117,020.32/x
  3. Step 3: Cross multiply
    73,890.14x = 117,020.32 × 117,020.32
  4. Step 4: Simplify right side
    73,890.14x = 13,693,755,366.04
  5. Step 5: Solve for x
    x = 13,693,755,366.04/73,890.14
  6. Step 6: Final answer
    x = 185,325.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.