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Finding the Third Proportional to 57,102 and 85,338

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Solution

The third proportional to 57,102 and 85,338 is: 127,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102 : 85,338 = 85,338 : x
  2. Step 2: Convert to fraction form
    57,102/85,338 = 85,338/x
  3. Step 3: Cross multiply
    57,102x = 85,338 × 85,338
  4. Step 4: Simplify right side
    57,102x = 7,282,574,244
  5. Step 5: Solve for x
    x = 7,282,574,244/57,102
  6. Step 6: Final answer
    x = 127,536.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.