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Finding the Third Proportional to 62,664 and 97,184

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Solution

The third proportional to 62,664 and 97,184 is: 150,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,664 : 97,184 = 97,184 : x
  2. Step 2: Convert to fraction form
    62,664/97,184 = 97,184/x
  3. Step 3: Cross multiply
    62,664x = 97,184 × 97,184
  4. Step 4: Simplify right side
    62,664x = 9,444,729,856
  5. Step 5: Solve for x
    x = 9,444,729,856/62,664
  6. Step 6: Final answer
    x = 150,720.19

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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.