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Finding the Third Proportional to 67,362 and 101,538

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Solution

The third proportional to 67,362 and 101,538 is: 153,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,362 : 101,538 = 101,538 : x
  2. Step 2: Convert to fraction form
    67,362/101,538 = 101,538/x
  3. Step 3: Cross multiply
    67,362x = 101,538 × 101,538
  4. Step 4: Simplify right side
    67,362x = 10,309,965,444
  5. Step 5: Solve for x
    x = 10,309,965,444/67,362
  6. Step 6: Final answer
    x = 153,053.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.