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Finding the Third Proportional to 96,751 and 227,657.50

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Solution

The third proportional to 96,751 and 227,657.50 is: 535,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,751 : 227,657.50 = 227,657.50 : x
  2. Step 2: Convert to fraction form
    96,751/227,657.50 = 227,657.50/x
  3. Step 3: Cross multiply
    96,751x = 227,657.50 × 227,657.50
  4. Step 4: Simplify right side
    96,751x = 51,827,937,306.25
  5. Step 5: Solve for x
    x = 51,827,937,306.25/96,751
  6. Step 6: Final answer
    x = 535,683.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.