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Finding the Third Proportional to 42,175.88 and 63,699.56

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Solution

The third proportional to 42,175.88 and 63,699.56 is: 96,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.88 : 63,699.56 = 63,699.56 : x
  2. Step 2: Convert to fraction form
    42,175.88/63,699.56 = 63,699.56/x
  3. Step 3: Cross multiply
    42,175.88x = 63,699.56 × 63,699.56
  4. Step 4: Simplify right side
    42,175.88x = 4,057,634,262.69
  5. Step 5: Solve for x
    x = 4,057,634,262.69/42,175.88
  6. Step 6: Final answer
    x = 96,207.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.