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Finding the Third Proportional to 96,774 and 152,073

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Solution

The third proportional to 96,774 and 152,073 is: 238,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774 : 152,073 = 152,073 : x
  2. Step 2: Convert to fraction form
    96,774/152,073 = 152,073/x
  3. Step 3: Cross multiply
    96,774x = 152,073 × 152,073
  4. Step 4: Simplify right side
    96,774x = 23,126,197,329
  5. Step 5: Solve for x
    x = 23,126,197,329/96,774
  6. Step 6: Final answer
    x = 238,971.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.