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Finding the Third Proportional to 79,882.50 and 174,528

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Solution

The third proportional to 79,882.50 and 174,528 is: 381,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,882.50 : 174,528 = 174,528 : x
  2. Step 2: Convert to fraction form
    79,882.50/174,528 = 174,528/x
  3. Step 3: Cross multiply
    79,882.50x = 174,528 × 174,528
  4. Step 4: Simplify right side
    79,882.50x = 30,460,022,784
  5. Step 5: Solve for x
    x = 30,460,022,784/79,882.50
  6. Step 6: Final answer
    x = 381,310.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.