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Finding the Third Proportional to 96,723 and 145,126.50

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Solution

The third proportional to 96,723 and 145,126.50 is: 217,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,723 : 145,126.50 = 145,126.50 : x
  2. Step 2: Convert to fraction form
    96,723/145,126.50 = 145,126.50/x
  3. Step 3: Cross multiply
    96,723x = 145,126.50 × 145,126.50
  4. Step 4: Simplify right side
    96,723x = 21,061,701,002.25
  5. Step 5: Solve for x
    x = 21,061,701,002.25/96,723
  6. Step 6: Final answer
    x = 217,752.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.