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Finding the Third Proportional to 98,516.25 and 144,281.25

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Solution

The third proportional to 98,516.25 and 144,281.25 is: 211,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516.25 : 144,281.25 = 144,281.25 : x
  2. Step 2: Convert to fraction form
    98,516.25/144,281.25 = 144,281.25/x
  3. Step 3: Cross multiply
    98,516.25x = 144,281.25 × 144,281.25
  4. Step 4: Simplify right side
    98,516.25x = 20,817,079,101.56
  5. Step 5: Solve for x
    x = 20,817,079,101.56/98,516.25
  6. Step 6: Final answer
    x = 211,306.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.