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Finding the Third Proportional to 73,219.50 and 152,271

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Solution

The third proportional to 73,219.50 and 152,271 is: 316,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,219.50 : 152,271 = 152,271 : x
  2. Step 2: Convert to fraction form
    73,219.50/152,271 = 152,271/x
  3. Step 3: Cross multiply
    73,219.50x = 152,271 × 152,271
  4. Step 4: Simplify right side
    73,219.50x = 23,186,457,441
  5. Step 5: Solve for x
    x = 23,186,457,441/73,219.50
  6. Step 6: Final answer
    x = 316,670.52

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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.