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Finding the Third Proportional to 57,247.50 and 84,213

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Solution

The third proportional to 57,247.50 and 84,213 is: 123,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,247.50 : 84,213 = 84,213 : x
  2. Step 2: Convert to fraction form
    57,247.50/84,213 = 84,213/x
  3. Step 3: Cross multiply
    57,247.50x = 84,213 × 84,213
  4. Step 4: Simplify right side
    57,247.50x = 7,091,829,369
  5. Step 5: Solve for x
    x = 7,091,829,369/57,247.50
  6. Step 6: Final answer
    x = 123,880.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.