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Finding the Third Proportional to 42,773.06 and 88,256.25

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Solution

The third proportional to 42,773.06 and 88,256.25 is: 182,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,773.06 : 88,256.25 = 88,256.25 : x
  2. Step 2: Convert to fraction form
    42,773.06/88,256.25 = 88,256.25/x
  3. Step 3: Cross multiply
    42,773.06x = 88,256.25 × 88,256.25
  4. Step 4: Simplify right side
    42,773.06x = 7,789,165,664.06
  5. Step 5: Solve for x
    x = 7,789,165,664.06/42,773.06
  6. Step 6: Final answer
    x = 182,104.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.