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Finding the Third Proportional to 45,156 and 99,064

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Solution

The third proportional to 45,156 and 99,064 is: 217,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,156 : 99,064 = 99,064 : x
  2. Step 2: Convert to fraction form
    45,156/99,064 = 99,064/x
  3. Step 3: Cross multiply
    45,156x = 99,064 × 99,064
  4. Step 4: Simplify right side
    45,156x = 9,813,676,096
  5. Step 5: Solve for x
    x = 9,813,676,096/45,156
  6. Step 6: Final answer
    x = 217,328.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.