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Finding the Third Proportional to 69,298 and 101,355

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Solution

The third proportional to 69,298 and 101,355 is: 148,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,298 : 101,355 = 101,355 : x
  2. Step 2: Convert to fraction form
    69,298/101,355 = 101,355/x
  3. Step 3: Cross multiply
    69,298x = 101,355 × 101,355
  4. Step 4: Simplify right side
    69,298x = 10,272,836,025
  5. Step 5: Solve for x
    x = 10,272,836,025/69,298
  6. Step 6: Final answer
    x = 148,241.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.