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Finding the Third Proportional to 62,728 and 97,903

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Solution

The third proportional to 62,728 and 97,903 is: 152,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,728 : 97,903 = 97,903 : x
  2. Step 2: Convert to fraction form
    62,728/97,903 = 97,903/x
  3. Step 3: Cross multiply
    62,728x = 97,903 × 97,903
  4. Step 4: Simplify right side
    62,728x = 9,584,997,409
  5. Step 5: Solve for x
    x = 9,584,997,409/62,728
  6. Step 6: Final answer
    x = 152,802.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.