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Finding the Third Proportional to 42,783.75 and 88,294.50

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Solution

The third proportional to 42,783.75 and 88,294.50 is: 182,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783.75 : 88,294.50 = 88,294.50 : x
  2. Step 2: Convert to fraction form
    42,783.75/88,294.50 = 88,294.50/x
  3. Step 3: Cross multiply
    42,783.75x = 88,294.50 × 88,294.50
  4. Step 4: Simplify right side
    42,783.75x = 7,795,918,730.25
  5. Step 5: Solve for x
    x = 7,795,918,730.25/42,783.75
  6. Step 6: Final answer
    x = 182,216.82

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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.