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Finding the Third Proportional to 62,010 and 135,569

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Solution

The third proportional to 62,010 and 135,569 is: 296,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,010 : 135,569 = 135,569 : x
  2. Step 2: Convert to fraction form
    62,010/135,569 = 135,569/x
  3. Step 3: Cross multiply
    62,010x = 135,569 × 135,569
  4. Step 4: Simplify right side
    62,010x = 18,378,953,761
  5. Step 5: Solve for x
    x = 18,378,953,761/62,010
  6. Step 6: Final answer
    x = 296,386.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.