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Finding the Third Proportional to 55,438 and 85,208

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Solution

The third proportional to 55,438 and 85,208 is: 130,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,438 : 85,208 = 85,208 : x
  2. Step 2: Convert to fraction form
    55,438/85,208 = 85,208/x
  3. Step 3: Cross multiply
    55,438x = 85,208 × 85,208
  4. Step 4: Simplify right side
    55,438x = 7,260,403,264
  5. Step 5: Solve for x
    x = 7,260,403,264/55,438
  6. Step 6: Final answer
    x = 130,964.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.