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Finding the Third Proportional to 63,164 and 84,270

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Solution

The third proportional to 63,164 and 84,270 is: 112,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,164 : 84,270 = 84,270 : x
  2. Step 2: Convert to fraction form
    63,164/84,270 = 84,270/x
  3. Step 3: Cross multiply
    63,164x = 84,270 × 84,270
  4. Step 4: Simplify right side
    63,164x = 7,101,432,900
  5. Step 5: Solve for x
    x = 7,101,432,900/63,164
  6. Step 6: Final answer
    x = 112,428.49

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.