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Finding the Third Proportional to 45,700.50 and 95,055

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Solution

The third proportional to 45,700.50 and 95,055 is: 197,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,700.50 : 95,055 = 95,055 : x
  2. Step 2: Convert to fraction form
    45,700.50/95,055 = 95,055/x
  3. Step 3: Cross multiply
    45,700.50x = 95,055 × 95,055
  4. Step 4: Simplify right side
    45,700.50x = 9,035,453,025
  5. Step 5: Solve for x
    x = 9,035,453,025/45,700.50
  6. Step 6: Final answer
    x = 197,710.16

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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.