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Finding the Third Proportional to 42,250 and 91,798.50

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Solution

The third proportional to 42,250 and 91,798.50 is: 199,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,250 : 91,798.50 = 91,798.50 : x
  2. Step 2: Convert to fraction form
    42,250/91,798.50 = 91,798.50/x
  3. Step 3: Cross multiply
    42,250x = 91,798.50 × 91,798.50
  4. Step 4: Simplify right side
    42,250x = 8,426,964,602.25
  5. Step 5: Solve for x
    x = 8,426,964,602.25/42,250
  6. Step 6: Final answer
    x = 199,454.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.