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Finding the Third Proportional to 103,702.50 and 164,895

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Solution

The third proportional to 103,702.50 and 164,895 is: 262,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,702.50 : 164,895 = 164,895 : x
  2. Step 2: Convert to fraction form
    103,702.50/164,895 = 164,895/x
  3. Step 3: Cross multiply
    103,702.50x = 164,895 × 164,895
  4. Step 4: Simplify right side
    103,702.50x = 27,190,361,025
  5. Step 5: Solve for x
    x = 27,190,361,025/103,702.50
  6. Step 6: Final answer
    x = 262,195.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.