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Finding the Third Proportional to 73,809.50 and 152,871.50

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Solution

The third proportional to 73,809.50 and 152,871.50 is: 316,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.50 : 152,871.50 = 152,871.50 : x
  2. Step 2: Convert to fraction form
    73,809.50/152,871.50 = 152,871.50/x
  3. Step 3: Cross multiply
    73,809.50x = 152,871.50 × 152,871.50
  4. Step 4: Simplify right side
    73,809.50x = 23,369,695,512.25
  5. Step 5: Solve for x
    x = 23,369,695,512.25/73,809.50
  6. Step 6: Final answer
    x = 316,621.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.