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Finding the Third Proportional to 42,700 and 64,188

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Solution

The third proportional to 42,700 and 64,188 is: 96,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,700 : 64,188 = 64,188 : x
  2. Step 2: Convert to fraction form
    42,700/64,188 = 64,188/x
  3. Step 3: Cross multiply
    42,700x = 64,188 × 64,188
  4. Step 4: Simplify right side
    42,700x = 4,120,099,344
  5. Step 5: Solve for x
    x = 4,120,099,344/42,700
  6. Step 6: Final answer
    x = 96,489.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.