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Finding the Third Proportional to 56,481 and 75,300

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Solution

The third proportional to 56,481 and 75,300 is: 100,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481 : 75,300 = 75,300 : x
  2. Step 2: Convert to fraction form
    56,481/75,300 = 75,300/x
  3. Step 3: Cross multiply
    56,481x = 75,300 × 75,300
  4. Step 4: Simplify right side
    56,481x = 5,670,090,000
  5. Step 5: Solve for x
    x = 5,670,090,000/56,481
  6. Step 6: Final answer
    x = 100,389.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.