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Finding the Third Proportional to 44,264 and 93,056

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Solution

The third proportional to 44,264 and 93,056 is: 195,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,264 : 93,056 = 93,056 : x
  2. Step 2: Convert to fraction form
    44,264/93,056 = 93,056/x
  3. Step 3: Cross multiply
    44,264x = 93,056 × 93,056
  4. Step 4: Simplify right side
    44,264x = 8,659,419,136
  5. Step 5: Solve for x
    x = 8,659,419,136/44,264
  6. Step 6: Final answer
    x = 195,631.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.