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Finding the Third Proportional to 42,451.88 and 92,273.63

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Solution

The third proportional to 42,451.88 and 92,273.63 is: 200,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451.88 : 92,273.63 = 92,273.63 : x
  2. Step 2: Convert to fraction form
    42,451.88/92,273.63 = 92,273.63/x
  3. Step 3: Cross multiply
    42,451.88x = 92,273.63 × 92,273.63
  4. Step 4: Simplify right side
    42,451.88x = 8,514,421,870.64
  5. Step 5: Solve for x
    x = 8,514,421,870.64/42,451.88
  6. Step 6: Final answer
    x = 200,566.45

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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.