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Finding the Third Proportional to 42,065.58 and 92,051.44

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Solution

The third proportional to 42,065.58 and 92,051.44 is: 201,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.58 : 92,051.44 = 92,051.44 : x
  2. Step 2: Convert to fraction form
    42,065.58/92,051.44 = 92,051.44/x
  3. Step 3: Cross multiply
    42,065.58x = 92,051.44 × 92,051.44
  4. Step 4: Simplify right side
    42,065.58x = 8,473,467,145.82
  5. Step 5: Solve for x
    x = 8,473,467,145.82/42,065.58
  6. Step 6: Final answer
    x = 201,434.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.