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Finding the Third Proportional to 54,365 and 76,557

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Solution

The third proportional to 54,365 and 76,557 is: 107,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,365 : 76,557 = 76,557 : x
  2. Step 2: Convert to fraction form
    54,365/76,557 = 76,557/x
  3. Step 3: Cross multiply
    54,365x = 76,557 × 76,557
  4. Step 4: Simplify right side
    54,365x = 5,860,974,249
  5. Step 5: Solve for x
    x = 5,860,974,249/54,365
  6. Step 6: Final answer
    x = 107,807.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.