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Finding the Third Proportional to 109,111.50 and 163,748.25

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Solution

The third proportional to 109,111.50 and 163,748.25 is: 245,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,111.50 : 163,748.25 = 163,748.25 : x
  2. Step 2: Convert to fraction form
    109,111.50/163,748.25 = 163,748.25/x
  3. Step 3: Cross multiply
    109,111.50x = 163,748.25 × 163,748.25
  4. Step 4: Simplify right side
    109,111.50x = 26,813,489,378.06
  5. Step 5: Solve for x
    x = 26,813,489,378.06/109,111.50
  6. Step 6: Final answer
    x = 245,743.94

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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.