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Finding the Third Proportional to 57,703 and 130,222

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Solution

The third proportional to 57,703 and 130,222 is: 293,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703 : 130,222 = 130,222 : x
  2. Step 2: Convert to fraction form
    57,703/130,222 = 130,222/x
  3. Step 3: Cross multiply
    57,703x = 130,222 × 130,222
  4. Step 4: Simplify right side
    57,703x = 16,957,769,284
  5. Step 5: Solve for x
    x = 16,957,769,284/57,703
  6. Step 6: Final answer
    x = 293,880.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.