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Finding the Third Proportional to 109,584.56 and 163,935.56

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Solution

The third proportional to 109,584.56 and 163,935.56 is: 245,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,584.56 : 163,935.56 = 163,935.56 : x
  2. Step 2: Convert to fraction form
    109,584.56/163,935.56 = 163,935.56/x
  3. Step 3: Cross multiply
    109,584.56x = 163,935.56 × 163,935.56
  4. Step 4: Simplify right side
    109,584.56x = 26,874,868,652.19
  5. Step 5: Solve for x
    x = 26,874,868,652.19/109,584.56
  6. Step 6: Final answer
    x = 245,243.20

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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.