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Finding the Third Proportional to 56,483 and 84,731

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Solution

The third proportional to 56,483 and 84,731 is: 127,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,483 : 84,731 = 84,731 : x
  2. Step 2: Convert to fraction form
    56,483/84,731 = 84,731/x
  3. Step 3: Cross multiply
    56,483x = 84,731 × 84,731
  4. Step 4: Simplify right side
    56,483x = 7,179,342,361
  5. Step 5: Solve for x
    x = 7,179,342,361/56,483
  6. Step 6: Final answer
    x = 127,106.25

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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.