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Finding the Third Proportional to 96,268.50 and 144,701.44

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Solution

The third proportional to 96,268.50 and 144,701.44 is: 217,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,268.50 : 144,701.44 = 144,701.44 : x
  2. Step 2: Convert to fraction form
    96,268.50/144,701.44 = 144,701.44/x
  3. Step 3: Cross multiply
    96,268.50x = 144,701.44 × 144,701.44
  4. Step 4: Simplify right side
    96,268.50x = 20,938,506,014.57
  5. Step 5: Solve for x
    x = 20,938,506,014.57/96,268.50
  6. Step 6: Final answer
    x = 217,501.11

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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.