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Finding the Third Proportional to 42,199.50 and 88,297.13

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Solution

The third proportional to 42,199.50 and 88,297.13 is: 184,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,199.50 : 88,297.13 = 88,297.13 : x
  2. Step 2: Convert to fraction form
    42,199.50/88,297.13 = 88,297.13/x
  3. Step 3: Cross multiply
    42,199.50x = 88,297.13 × 88,297.13
  4. Step 4: Simplify right side
    42,199.50x = 7,796,382,283.27
  5. Step 5: Solve for x
    x = 7,796,382,283.27/42,199.50
  6. Step 6: Final answer
    x = 184,750.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.