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Finding the Third Proportional to 42,289 and 63,302

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Solution

The third proportional to 42,289 and 63,302 is: 94,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,289 : 63,302 = 63,302 : x
  2. Step 2: Convert to fraction form
    42,289/63,302 = 63,302/x
  3. Step 3: Cross multiply
    42,289x = 63,302 × 63,302
  4. Step 4: Simplify right side
    42,289x = 4,007,143,204
  5. Step 5: Solve for x
    x = 4,007,143,204/42,289
  6. Step 6: Final answer
    x = 94,756.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.