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Finding the Third Proportional to 44,088 and 66,702

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Solution

The third proportional to 44,088 and 66,702 is: 100,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,088 : 66,702 = 66,702 : x
  2. Step 2: Convert to fraction form
    44,088/66,702 = 66,702/x
  3. Step 3: Cross multiply
    44,088x = 66,702 × 66,702
  4. Step 4: Simplify right side
    44,088x = 4,449,156,804
  5. Step 5: Solve for x
    x = 4,449,156,804/44,088
  6. Step 6: Final answer
    x = 100,915.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.