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Finding the Third Proportional to 55,413 and 118,065

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Solution

The third proportional to 55,413 and 118,065 is: 251,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413 : 118,065 = 118,065 : x
  2. Step 2: Convert to fraction form
    55,413/118,065 = 118,065/x
  3. Step 3: Cross multiply
    55,413x = 118,065 × 118,065
  4. Step 4: Simplify right side
    55,413x = 13,939,344,225
  5. Step 5: Solve for x
    x = 13,939,344,225/55,413
  6. Step 6: Final answer
    x = 251,553.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.