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Finding the Third Proportional to 62,241 and 97,248

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Solution

The third proportional to 62,241 and 97,248 is: 151,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,241 : 97,248 = 97,248 : x
  2. Step 2: Convert to fraction form
    62,241/97,248 = 97,248/x
  3. Step 3: Cross multiply
    62,241x = 97,248 × 97,248
  4. Step 4: Simplify right side
    62,241x = 9,457,173,504
  5. Step 5: Solve for x
    x = 9,457,173,504/62,241
  6. Step 6: Final answer
    x = 151,944.43

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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.