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Finding the Third Proportional to 55,465 and 83,170

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Solution

The third proportional to 55,465 and 83,170 is: 124,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465 : 83,170 = 83,170 : x
  2. Step 2: Convert to fraction form
    55,465/83,170 = 83,170/x
  3. Step 3: Cross multiply
    55,465x = 83,170 × 83,170
  4. Step 4: Simplify right side
    55,465x = 6,917,248,900
  5. Step 5: Solve for x
    x = 6,917,248,900/55,465
  6. Step 6: Final answer
    x = 124,713.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.