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Finding the Third Proportional to 96,081.50 and 144,430.50

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Solution

The third proportional to 96,081.50 and 144,430.50 is: 217,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,081.50 : 144,430.50 = 144,430.50 : x
  2. Step 2: Convert to fraction form
    96,081.50/144,430.50 = 144,430.50/x
  3. Step 3: Cross multiply
    96,081.50x = 144,430.50 × 144,430.50
  4. Step 4: Simplify right side
    96,081.50x = 20,860,169,330.25
  5. Step 5: Solve for x
    x = 20,860,169,330.25/96,081.50
  6. Step 6: Final answer
    x = 217,109.11

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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.