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Finding the Third Proportional to 29,146 and 60,364

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Solution

The third proportional to 29,146 and 60,364 is: 125,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146 : 60,364 = 60,364 : x
  2. Step 2: Convert to fraction form
    29,146/60,364 = 60,364/x
  3. Step 3: Cross multiply
    29,146x = 60,364 × 60,364
  4. Step 4: Simplify right side
    29,146x = 3,643,812,496
  5. Step 5: Solve for x
    x = 3,643,812,496/29,146
  6. Step 6: Final answer
    x = 125,019.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.