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Finding the Third Proportional to 78,964 and 171,032

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Solution

The third proportional to 78,964 and 171,032 is: 370,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,964 : 171,032 = 171,032 : x
  2. Step 2: Convert to fraction form
    78,964/171,032 = 171,032/x
  3. Step 3: Cross multiply
    78,964x = 171,032 × 171,032
  4. Step 4: Simplify right side
    78,964x = 29,251,945,024
  5. Step 5: Solve for x
    x = 29,251,945,024/78,964
  6. Step 6: Final answer
    x = 370,446.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.