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Finding the Third Proportional to 108,716 and 150,222

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Solution

The third proportional to 108,716 and 150,222 is: 207,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,716 : 150,222 = 150,222 : x
  2. Step 2: Convert to fraction form
    108,716/150,222 = 150,222/x
  3. Step 3: Cross multiply
    108,716x = 150,222 × 150,222
  4. Step 4: Simplify right side
    108,716x = 22,566,649,284
  5. Step 5: Solve for x
    x = 22,566,649,284/108,716
  6. Step 6: Final answer
    x = 207,574.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.