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Finding the Third Proportional to 62,144 and 97,215

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Solution

The third proportional to 62,144 and 97,215 is: 152,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,144 : 97,215 = 97,215 : x
  2. Step 2: Convert to fraction form
    62,144/97,215 = 97,215/x
  3. Step 3: Cross multiply
    62,144x = 97,215 × 97,215
  4. Step 4: Simplify right side
    62,144x = 9,450,756,225
  5. Step 5: Solve for x
    x = 9,450,756,225/62,144
  6. Step 6: Final answer
    x = 152,078.34

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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.