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Finding the Third Proportional to 60,013 and 130,606

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Solution

The third proportional to 60,013 and 130,606 is: 284,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,013 : 130,606 = 130,606 : x
  2. Step 2: Convert to fraction form
    60,013/130,606 = 130,606/x
  3. Step 3: Cross multiply
    60,013x = 130,606 × 130,606
  4. Step 4: Simplify right side
    60,013x = 17,057,927,236
  5. Step 5: Solve for x
    x = 17,057,927,236/60,013
  6. Step 6: Final answer
    x = 284,237.20

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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.