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Finding the Third Proportional to 56,210 and 75,187

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Solution

The third proportional to 56,210 and 75,187 is: 100,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,210 : 75,187 = 75,187 : x
  2. Step 2: Convert to fraction form
    56,210/75,187 = 75,187/x
  3. Step 3: Cross multiply
    56,210x = 75,187 × 75,187
  4. Step 4: Simplify right side
    56,210x = 5,653,084,969
  5. Step 5: Solve for x
    x = 5,653,084,969/56,210
  6. Step 6: Final answer
    x = 100,570.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.