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Finding the Third Proportional to 29,306 and 64,228

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Solution

The third proportional to 29,306 and 64,228 is: 140,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,306 : 64,228 = 64,228 : x
  2. Step 2: Convert to fraction form
    29,306/64,228 = 64,228/x
  3. Step 3: Cross multiply
    29,306x = 64,228 × 64,228
  4. Step 4: Simplify right side
    29,306x = 4,125,235,984
  5. Step 5: Solve for x
    x = 4,125,235,984/29,306
  6. Step 6: Final answer
    x = 140,764.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.