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Finding the Third Proportional to 55,034 and 83,595

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Solution

The third proportional to 55,034 and 83,595 is: 126,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,034 : 83,595 = 83,595 : x
  2. Step 2: Convert to fraction form
    55,034/83,595 = 83,595/x
  3. Step 3: Cross multiply
    55,034x = 83,595 × 83,595
  4. Step 4: Simplify right side
    55,034x = 6,988,124,025
  5. Step 5: Solve for x
    x = 6,988,124,025/55,034
  6. Step 6: Final answer
    x = 126,978.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.