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Finding the Third Proportional to 55,008 and 80,160

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Solution

The third proportional to 55,008 and 80,160 is: 116,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,008 : 80,160 = 80,160 : x
  2. Step 2: Convert to fraction form
    55,008/80,160 = 80,160/x
  3. Step 3: Cross multiply
    55,008x = 80,160 × 80,160
  4. Step 4: Simplify right side
    55,008x = 6,425,625,600
  5. Step 5: Solve for x
    x = 6,425,625,600/55,008
  6. Step 6: Final answer
    x = 116,812.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.