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Finding the Third Proportional to 57,337.50 and 117,222

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Solution

The third proportional to 57,337.50 and 117,222 is: 239,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,337.50 : 117,222 = 117,222 : x
  2. Step 2: Convert to fraction form
    57,337.50/117,222 = 117,222/x
  3. Step 3: Cross multiply
    57,337.50x = 117,222 × 117,222
  4. Step 4: Simplify right side
    57,337.50x = 13,740,997,284
  5. Step 5: Solve for x
    x = 13,740,997,284/57,337.50
  6. Step 6: Final answer
    x = 239,651.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.