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Finding the Third Proportional to 42,790.50 and 88,308

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Solution

The third proportional to 42,790.50 and 88,308 is: 182,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,790.50 : 88,308 = 88,308 : x
  2. Step 2: Convert to fraction form
    42,790.50/88,308 = 88,308/x
  3. Step 3: Cross multiply
    42,790.50x = 88,308 × 88,308
  4. Step 4: Simplify right side
    42,790.50x = 7,798,302,864
  5. Step 5: Solve for x
    x = 7,798,302,864/42,790.50
  6. Step 6: Final answer
    x = 182,243.79

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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.