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Finding the Third Proportional to 42,249 and 63,247

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Solution

The third proportional to 42,249 and 63,247 is: 94,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,249 : 63,247 = 63,247 : x
  2. Step 2: Convert to fraction form
    42,249/63,247 = 63,247/x
  3. Step 3: Cross multiply
    42,249x = 63,247 × 63,247
  4. Step 4: Simplify right side
    42,249x = 4,000,183,009
  5. Step 5: Solve for x
    x = 4,000,183,009/42,249
  6. Step 6: Final answer
    x = 94,681.13

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Why These Related Problems?

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