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Finding the Third Proportional to 62,415 and 130,013

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Solution

The third proportional to 62,415 and 130,013 is: 270,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,415 : 130,013 = 130,013 : x
  2. Step 2: Convert to fraction form
    62,415/130,013 = 130,013/x
  3. Step 3: Cross multiply
    62,415x = 130,013 × 130,013
  4. Step 4: Simplify right side
    62,415x = 16,903,380,169
  5. Step 5: Solve for x
    x = 16,903,380,169/62,415
  6. Step 6: Final answer
    x = 270,822.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.