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Finding the Third Proportional to 29,298 and 69,130

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Solution

The third proportional to 29,298 and 69,130 is: 163,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298 : 69,130 = 69,130 : x
  2. Step 2: Convert to fraction form
    29,298/69,130 = 69,130/x
  3. Step 3: Cross multiply
    29,298x = 69,130 × 69,130
  4. Step 4: Simplify right side
    29,298x = 4,778,956,900
  5. Step 5: Solve for x
    x = 4,778,956,900/29,298
  6. Step 6: Final answer
    x = 163,115.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.