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Finding the Third Proportional to 101,762 and 217,046

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Solution

The third proportional to 101,762 and 217,046 is: 462,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762 : 217,046 = 217,046 : x
  2. Step 2: Convert to fraction form
    101,762/217,046 = 217,046/x
  3. Step 3: Cross multiply
    101,762x = 217,046 × 217,046
  4. Step 4: Simplify right side
    101,762x = 47,108,966,116
  5. Step 5: Solve for x
    x = 47,108,966,116/101,762
  6. Step 6: Final answer
    x = 462,932.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.