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Finding the Third Proportional to 39,700 and 87,178.50

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Solution

The third proportional to 39,700 and 87,178.50 is: 191,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,700 : 87,178.50 = 87,178.50 : x
  2. Step 2: Convert to fraction form
    39,700/87,178.50 = 87,178.50/x
  3. Step 3: Cross multiply
    39,700x = 87,178.50 × 87,178.50
  4. Step 4: Simplify right side
    39,700x = 7,600,090,862.25
  5. Step 5: Solve for x
    x = 7,600,090,862.25/39,700
  6. Step 6: Final answer
    x = 191,438.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.