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Finding the Third Proportional to 42,804 and 88,332

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Solution

The third proportional to 42,804 and 88,332 is: 182,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804 : 88,332 = 88,332 : x
  2. Step 2: Convert to fraction form
    42,804/88,332 = 88,332/x
  3. Step 3: Cross multiply
    42,804x = 88,332 × 88,332
  4. Step 4: Simplify right side
    42,804x = 7,802,542,224
  5. Step 5: Solve for x
    x = 7,802,542,224/42,804
  6. Step 6: Final answer
    x = 182,285.35

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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.