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Finding the Third Proportional to 109,122.19 and 163,013.13

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Solution

The third proportional to 109,122.19 and 163,013.13 is: 243,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,122.19 : 163,013.13 = 163,013.13 : x
  2. Step 2: Convert to fraction form
    109,122.19/163,013.13 = 163,013.13/x
  3. Step 3: Cross multiply
    109,122.19x = 163,013.13 × 163,013.13
  4. Step 4: Simplify right side
    109,122.19x = 26,573,281,469.35
  5. Step 5: Solve for x
    x = 26,573,281,469.35/109,122.19
  6. Step 6: Final answer
    x = 243,518.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.