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Finding the Third Proportional to 29,299 and 63,160.75

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Solution

The third proportional to 29,299 and 63,160.75 is: 136,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,299 : 63,160.75 = 63,160.75 : x
  2. Step 2: Convert to fraction form
    29,299/63,160.75 = 63,160.75/x
  3. Step 3: Cross multiply
    29,299x = 63,160.75 × 63,160.75
  4. Step 4: Simplify right side
    29,299x = 3,989,280,340.56
  5. Step 5: Solve for x
    x = 3,989,280,340.56/29,299
  6. Step 6: Final answer
    x = 136,157.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.