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Finding the Third Proportional to 109,134 and 163,841.06

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Solution

The third proportional to 109,134 and 163,841.06 is: 245,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,134 : 163,841.06 = 163,841.06 : x
  2. Step 2: Convert to fraction form
    109,134/163,841.06 = 163,841.06/x
  3. Step 3: Cross multiply
    109,134x = 163,841.06 × 163,841.06
  4. Step 4: Simplify right side
    109,134x = 26,843,893,761.13
  5. Step 5: Solve for x
    x = 26,843,893,761.13/109,134
  6. Step 6: Final answer
    x = 245,971.87

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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.