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Finding the Third Proportional to 70,853.06 and 109,702.27

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Solution

The third proportional to 70,853.06 and 109,702.27 is: 169,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853.06 : 109,702.27 = 109,702.27 : x
  2. Step 2: Convert to fraction form
    70,853.06/109,702.27 = 109,702.27/x
  3. Step 3: Cross multiply
    70,853.06x = 109,702.27 × 109,702.27
  4. Step 4: Simplify right side
    70,853.06x = 12,034,587,083.26
  5. Step 5: Solve for x
    x = 12,034,587,083.26/70,853.06
  6. Step 6: Final answer
    x = 169,852.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.