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Finding the Third Proportional to 31,152 and 70,104

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Solution

The third proportional to 31,152 and 70,104 is: 157,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 70,104 = 70,104 : x
  2. Step 2: Convert to fraction form
    31,152/70,104 = 70,104/x
  3. Step 3: Cross multiply
    31,152x = 70,104 × 70,104
  4. Step 4: Simplify right side
    31,152x = 4,914,570,816
  5. Step 5: Solve for x
    x = 4,914,570,816/31,152
  6. Step 6: Final answer
    x = 157,761.00

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.