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Finding the Third Proportional to 72,360 and 113,172

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Solution

The third proportional to 72,360 and 113,172 is: 177,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,360 : 113,172 = 113,172 : x
  2. Step 2: Convert to fraction form
    72,360/113,172 = 113,172/x
  3. Step 3: Cross multiply
    72,360x = 113,172 × 113,172
  4. Step 4: Simplify right side
    72,360x = 12,807,901,584
  5. Step 5: Solve for x
    x = 12,807,901,584/72,360
  6. Step 6: Final answer
    x = 177,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.