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Finding the Third Proportional to 78,967.50 and 172,698

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Solution

The third proportional to 78,967.50 and 172,698 is: 377,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.50 : 172,698 = 172,698 : x
  2. Step 2: Convert to fraction form
    78,967.50/172,698 = 172,698/x
  3. Step 3: Cross multiply
    78,967.50x = 172,698 × 172,698
  4. Step 4: Simplify right side
    78,967.50x = 29,824,599,204
  5. Step 5: Solve for x
    x = 29,824,599,204/78,967.50
  6. Step 6: Final answer
    x = 377,681.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.