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Finding the Third Proportional to 39,726 and 93,165.75

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Solution

The third proportional to 39,726 and 93,165.75 is: 218,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,726 : 93,165.75 = 93,165.75 : x
  2. Step 2: Convert to fraction form
    39,726/93,165.75 = 93,165.75/x
  3. Step 3: Cross multiply
    39,726x = 93,165.75 × 93,165.75
  4. Step 4: Simplify right side
    39,726x = 8,679,856,973.06
  5. Step 5: Solve for x
    x = 8,679,856,973.06/39,726
  6. Step 6: Final answer
    x = 218,493.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.