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Finding the Third Proportional to 42,122.25 and 64,049.25

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Solution

The third proportional to 42,122.25 and 64,049.25 is: 97,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,122.25 : 64,049.25 = 64,049.25 : x
  2. Step 2: Convert to fraction form
    42,122.25/64,049.25 = 64,049.25/x
  3. Step 3: Cross multiply
    42,122.25x = 64,049.25 × 64,049.25
  4. Step 4: Simplify right side
    42,122.25x = 4,102,306,425.56
  5. Step 5: Solve for x
    x = 4,102,306,425.56/42,122.25
  6. Step 6: Final answer
    x = 97,390.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.