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Finding the Third Proportional to 72,360 and 110,484

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Solution

The third proportional to 72,360 and 110,484 is: 168,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,360 : 110,484 = 110,484 : x
  2. Step 2: Convert to fraction form
    72,360/110,484 = 110,484/x
  3. Step 3: Cross multiply
    72,360x = 110,484 × 110,484
  4. Step 4: Simplify right side
    72,360x = 12,206,714,256
  5. Step 5: Solve for x
    x = 12,206,714,256/72,360
  6. Step 6: Final answer
    x = 168,694.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.