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Finding the Third Proportional to 29,300 and 63,097

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Solution

The third proportional to 29,300 and 63,097 is: 135,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,300 : 63,097 = 63,097 : x
  2. Step 2: Convert to fraction form
    29,300/63,097 = 63,097/x
  3. Step 3: Cross multiply
    29,300x = 63,097 × 63,097
  4. Step 4: Simplify right side
    29,300x = 3,981,231,409
  5. Step 5: Solve for x
    x = 3,981,231,409/29,300
  6. Step 6: Final answer
    x = 135,878.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.