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Finding the Third Proportional to 67,294 and 103,298

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Solution

The third proportional to 67,294 and 103,298 is: 158,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,294 : 103,298 = 103,298 : x
  2. Step 2: Convert to fraction form
    67,294/103,298 = 103,298/x
  3. Step 3: Cross multiply
    67,294x = 103,298 × 103,298
  4. Step 4: Simplify right side
    67,294x = 10,670,476,804
  5. Step 5: Solve for x
    x = 10,670,476,804/67,294
  6. Step 6: Final answer
    x = 158,565.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.