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Finding the Third Proportional to 78,736 and 170,594

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Solution

The third proportional to 78,736 and 170,594 is: 369,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,736 : 170,594 = 170,594 : x
  2. Step 2: Convert to fraction form
    78,736/170,594 = 170,594/x
  3. Step 3: Cross multiply
    78,736x = 170,594 × 170,594
  4. Step 4: Simplify right side
    78,736x = 29,102,312,836
  5. Step 5: Solve for x
    x = 29,102,312,836/78,736
  6. Step 6: Final answer
    x = 369,618.89

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