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Finding the Third Proportional to 79,492.50 and 168,462

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Solution

The third proportional to 79,492.50 and 168,462 is: 357,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,492.50 : 168,462 = 168,462 : x
  2. Step 2: Convert to fraction form
    79,492.50/168,462 = 168,462/x
  3. Step 3: Cross multiply
    79,492.50x = 168,462 × 168,462
  4. Step 4: Simplify right side
    79,492.50x = 28,379,445,444
  5. Step 5: Solve for x
    x = 28,379,445,444/79,492.50
  6. Step 6: Final answer
    x = 357,007.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.