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Finding the Third Proportional to 101,566 and 154,511

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Solution

The third proportional to 101,566 and 154,511 is: 235,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,566 : 154,511 = 154,511 : x
  2. Step 2: Convert to fraction form
    101,566/154,511 = 154,511/x
  3. Step 3: Cross multiply
    101,566x = 154,511 × 154,511
  4. Step 4: Simplify right side
    101,566x = 23,873,649,121
  5. Step 5: Solve for x
    x = 23,873,649,121/101,566
  6. Step 6: Final answer
    x = 235,055.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.