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Finding the Third Proportional to 35,108 and 75,160

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Solution

The third proportional to 35,108 and 75,160 is: 160,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108 : 75,160 = 75,160 : x
  2. Step 2: Convert to fraction form
    35,108/75,160 = 75,160/x
  3. Step 3: Cross multiply
    35,108x = 75,160 × 75,160
  4. Step 4: Simplify right side
    35,108x = 5,649,025,600
  5. Step 5: Solve for x
    x = 5,649,025,600/35,108
  6. Step 6: Final answer
    x = 160,904.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.