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Finding the Third Proportional to 62,710 and 133,925

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Solution

The third proportional to 62,710 and 133,925 is: 286,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,710 : 133,925 = 133,925 : x
  2. Step 2: Convert to fraction form
    62,710/133,925 = 133,925/x
  3. Step 3: Cross multiply
    62,710x = 133,925 × 133,925
  4. Step 4: Simplify right side
    62,710x = 17,935,905,625
  5. Step 5: Solve for x
    x = 17,935,905,625/62,710
  6. Step 6: Final answer
    x = 286,013.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.