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Finding the Third Proportional to 78,071 and 116,893

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Solution

The third proportional to 78,071 and 116,893 is: 175,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071 : 116,893 = 116,893 : x
  2. Step 2: Convert to fraction form
    78,071/116,893 = 116,893/x
  3. Step 3: Cross multiply
    78,071x = 116,893 × 116,893
  4. Step 4: Simplify right side
    78,071x = 13,663,973,449
  5. Step 5: Solve for x
    x = 13,663,973,449/78,071
  6. Step 6: Final answer
    x = 175,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.