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Finding the Third Proportional to 72,488.25 and 110,895.75

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Solution

The third proportional to 72,488.25 and 110,895.75 is: 169,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,488.25 : 110,895.75 = 110,895.75 : x
  2. Step 2: Convert to fraction form
    72,488.25/110,895.75 = 110,895.75/x
  3. Step 3: Cross multiply
    72,488.25x = 110,895.75 × 110,895.75
  4. Step 4: Simplify right side
    72,488.25x = 12,297,867,368.06
  5. Step 5: Solve for x
    x = 12,297,867,368.06/72,488.25
  6. Step 6: Final answer
    x = 169,653.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.