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Finding the Third Proportional to 69,155.13 and 140,848.25

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Solution

The third proportional to 69,155.13 and 140,848.25 is: 286,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,155.13 : 140,848.25 = 140,848.25 : x
  2. Step 2: Convert to fraction form
    69,155.13/140,848.25 = 140,848.25/x
  3. Step 3: Cross multiply
    69,155.13x = 140,848.25 × 140,848.25
  4. Step 4: Simplify right side
    69,155.13x = 19,838,229,528.06
  5. Step 5: Solve for x
    x = 19,838,229,528.06/69,155.13
  6. Step 6: Final answer
    x = 286,865.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.