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Finding the Third Proportional to 29,420 and 64,124

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Solution

The third proportional to 29,420 and 64,124 is: 139,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,420 : 64,124 = 64,124 : x
  2. Step 2: Convert to fraction form
    29,420/64,124 = 64,124/x
  3. Step 3: Cross multiply
    29,420x = 64,124 × 64,124
  4. Step 4: Simplify right side
    29,420x = 4,111,887,376
  5. Step 5: Solve for x
    x = 4,111,887,376/29,420
  6. Step 6: Final answer
    x = 139,765.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.