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Finding the Third Proportional to 29,298 and 63,942

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Solution

The third proportional to 29,298 and 63,942 is: 139,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298 : 63,942 = 63,942 : x
  2. Step 2: Convert to fraction form
    29,298/63,942 = 63,942/x
  3. Step 3: Cross multiply
    29,298x = 63,942 × 63,942
  4. Step 4: Simplify right side
    29,298x = 4,088,579,364
  5. Step 5: Solve for x
    x = 4,088,579,364/29,298
  6. Step 6: Final answer
    x = 139,551.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.