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Finding the Third Proportional to 95,269.50 and 147,663

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Solution

The third proportional to 95,269.50 and 147,663 is: 228,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,269.50 : 147,663 = 147,663 : x
  2. Step 2: Convert to fraction form
    95,269.50/147,663 = 147,663/x
  3. Step 3: Cross multiply
    95,269.50x = 147,663 × 147,663
  4. Step 4: Simplify right side
    95,269.50x = 21,804,361,569
  5. Step 5: Solve for x
    x = 21,804,361,569/95,269.50
  6. Step 6: Final answer
    x = 228,870.33

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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.