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Finding the Third Proportional to 102,612.38 and 163,921.50

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Solution

The third proportional to 102,612.38 and 163,921.50 is: 261,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612.38 : 163,921.50 = 163,921.50 : x
  2. Step 2: Convert to fraction form
    102,612.38/163,921.50 = 163,921.50/x
  3. Step 3: Cross multiply
    102,612.38x = 163,921.50 × 163,921.50
  4. Step 4: Simplify right side
    102,612.38x = 26,870,258,162.25
  5. Step 5: Solve for x
    x = 26,870,258,162.25/102,612.38
  6. Step 6: Final answer
    x = 261,861.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.