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Finding the Third Proportional to 44,080 and 67,153

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Solution

The third proportional to 44,080 and 67,153 is: 102,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,080 : 67,153 = 67,153 : x
  2. Step 2: Convert to fraction form
    44,080/67,153 = 67,153/x
  3. Step 3: Cross multiply
    44,080x = 67,153 × 67,153
  4. Step 4: Simplify right side
    44,080x = 4,509,525,409
  5. Step 5: Solve for x
    x = 4,509,525,409/44,080
  6. Step 6: Final answer
    x = 102,303.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.