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Finding the Third Proportional to 73,803 and 152,857.50

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Solution

The third proportional to 73,803 and 152,857.50 is: 316,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,803 : 152,857.50 = 152,857.50 : x
  2. Step 2: Convert to fraction form
    73,803/152,857.50 = 152,857.50/x
  3. Step 3: Cross multiply
    73,803x = 152,857.50 × 152,857.50
  4. Step 4: Simplify right side
    73,803x = 23,365,415,306.25
  5. Step 5: Solve for x
    x = 23,365,415,306.25/73,803
  6. Step 6: Final answer
    x = 316,591.67

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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.