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Finding the Third Proportional to 42,274 and 63,574

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Solution

The third proportional to 42,274 and 63,574 is: 95,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274 : 63,574 = 63,574 : x
  2. Step 2: Convert to fraction form
    42,274/63,574 = 63,574/x
  3. Step 3: Cross multiply
    42,274x = 63,574 × 63,574
  4. Step 4: Simplify right side
    42,274x = 4,041,653,476
  5. Step 5: Solve for x
    x = 4,041,653,476/42,274
  6. Step 6: Final answer
    x = 95,606.13

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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.