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Finding the Third Proportional to 29,124 and 59,490

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Solution

The third proportional to 29,124 and 59,490 is: 121,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    29,124/59,490 = 59,490/x
  3. Step 3: Cross multiply
    29,124x = 59,490 × 59,490
  4. Step 4: Simplify right side
    29,124x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/29,124
  6. Step 6: Final answer
    x = 121,516.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.