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Finding the Third Proportional to 62,852 and 97,196

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Solution

The third proportional to 62,852 and 97,196 is: 150,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,852 : 97,196 = 97,196 : x
  2. Step 2: Convert to fraction form
    62,852/97,196 = 97,196/x
  3. Step 3: Cross multiply
    62,852x = 97,196 × 97,196
  4. Step 4: Simplify right side
    62,852x = 9,447,062,416
  5. Step 5: Solve for x
    x = 9,447,062,416/62,852
  6. Step 6: Final answer
    x = 150,306.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.