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Finding the Third Proportional to 76,807.50 and 159,746.25

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Solution

The third proportional to 76,807.50 and 159,746.25 is: 332,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.50 : 159,746.25 = 159,746.25 : x
  2. Step 2: Convert to fraction form
    76,807.50/159,746.25 = 159,746.25/x
  3. Step 3: Cross multiply
    76,807.50x = 159,746.25 × 159,746.25
  4. Step 4: Simplify right side
    76,807.50x = 25,518,864,389.06
  5. Step 5: Solve for x
    x = 25,518,864,389.06/76,807.50
  6. Step 6: Final answer
    x = 332,244.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.