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Finding the Third Proportional to 109,624.50 and 163,996

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Solution

The third proportional to 109,624.50 and 163,996 is: 245,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,624.50 : 163,996 = 163,996 : x
  2. Step 2: Convert to fraction form
    109,624.50/163,996 = 163,996/x
  3. Step 3: Cross multiply
    109,624.50x = 163,996 × 163,996
  4. Step 4: Simplify right side
    109,624.50x = 26,894,688,016
  5. Step 5: Solve for x
    x = 26,894,688,016/109,624.50
  6. Step 6: Final answer
    x = 245,334.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.