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Finding the Third Proportional to 29,270 and 64,516

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Solution

The third proportional to 29,270 and 64,516 is: 142,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270 : 64,516 = 64,516 : x
  2. Step 2: Convert to fraction form
    29,270/64,516 = 64,516/x
  3. Step 3: Cross multiply
    29,270x = 64,516 × 64,516
  4. Step 4: Simplify right side
    29,270x = 4,162,314,256
  5. Step 5: Solve for x
    x = 4,162,314,256/29,270
  6. Step 6: Final answer
    x = 142,204.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.