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Finding the Third Proportional to 60,021 and 130,914

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Solution

The third proportional to 60,021 and 130,914 is: 285,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,021 : 130,914 = 130,914 : x
  2. Step 2: Convert to fraction form
    60,021/130,914 = 130,914/x
  3. Step 3: Cross multiply
    60,021x = 130,914 × 130,914
  4. Step 4: Simplify right side
    60,021x = 17,138,475,396
  5. Step 5: Solve for x
    x = 17,138,475,396/60,021
  6. Step 6: Final answer
    x = 285,541.32

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Why These Related Problems?

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