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Finding the Third Proportional to 42,270 and 63,273

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Solution

The third proportional to 42,270 and 63,273 is: 94,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,270 : 63,273 = 63,273 : x
  2. Step 2: Convert to fraction form
    42,270/63,273 = 63,273/x
  3. Step 3: Cross multiply
    42,270x = 63,273 × 63,273
  4. Step 4: Simplify right side
    42,270x = 4,003,472,529
  5. Step 5: Solve for x
    x = 4,003,472,529/42,270
  6. Step 6: Final answer
    x = 94,711.91

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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.