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Finding the Third Proportional to 60,389.50 and 130,013

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Solution

The third proportional to 60,389.50 and 130,013 is: 279,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,389.50 : 130,013 = 130,013 : x
  2. Step 2: Convert to fraction form
    60,389.50/130,013 = 130,013/x
  3. Step 3: Cross multiply
    60,389.50x = 130,013 × 130,013
  4. Step 4: Simplify right side
    60,389.50x = 16,903,380,169
  5. Step 5: Solve for x
    x = 16,903,380,169/60,389.50
  6. Step 6: Final answer
    x = 279,905.95

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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.