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Finding the Third Proportional to 78,496.50 and 163,635

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Solution

The third proportional to 78,496.50 and 163,635 is: 341,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.50 : 163,635 = 163,635 : x
  2. Step 2: Convert to fraction form
    78,496.50/163,635 = 163,635/x
  3. Step 3: Cross multiply
    78,496.50x = 163,635 × 163,635
  4. Step 4: Simplify right side
    78,496.50x = 26,776,413,225
  5. Step 5: Solve for x
    x = 26,776,413,225/78,496.50
  6. Step 6: Final answer
    x = 341,116.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.