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Finding the Third Proportional to 42,678.75 and 93,393.75

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Solution

The third proportional to 42,678.75 and 93,393.75 is: 204,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678.75 : 93,393.75 = 93,393.75 : x
  2. Step 2: Convert to fraction form
    42,678.75/93,393.75 = 93,393.75/x
  3. Step 3: Cross multiply
    42,678.75x = 93,393.75 × 93,393.75
  4. Step 4: Simplify right side
    42,678.75x = 8,722,392,539.06
  5. Step 5: Solve for x
    x = 8,722,392,539.06/42,678.75
  6. Step 6: Final answer
    x = 204,373.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.