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Finding the Third Proportional to 60,402 and 130,102

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Solution

The third proportional to 60,402 and 130,102 is: 280,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,402 : 130,102 = 130,102 : x
  2. Step 2: Convert to fraction form
    60,402/130,102 = 130,102/x
  3. Step 3: Cross multiply
    60,402x = 130,102 × 130,102
  4. Step 4: Simplify right side
    60,402x = 16,926,530,404
  5. Step 5: Solve for x
    x = 16,926,530,404/60,402
  6. Step 6: Final answer
    x = 280,231.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.