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Finding the Third Proportional to 29,312 and 69,126

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Solution

The third proportional to 29,312 and 69,126 is: 163,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312 : 69,126 = 69,126 : x
  2. Step 2: Convert to fraction form
    29,312/69,126 = 69,126/x
  3. Step 3: Cross multiply
    29,312x = 69,126 × 69,126
  4. Step 4: Simplify right side
    29,312x = 4,778,403,876
  5. Step 5: Solve for x
    x = 4,778,403,876/29,312
  6. Step 6: Final answer
    x = 163,018.69

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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.