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Finding the Third Proportional to 49,355 and 78,497

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Solution

The third proportional to 49,355 and 78,497 is: 124,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,355 : 78,497 = 78,497 : x
  2. Step 2: Convert to fraction form
    49,355/78,497 = 78,497/x
  3. Step 3: Cross multiply
    49,355x = 78,497 × 78,497
  4. Step 4: Simplify right side
    49,355x = 6,161,779,009
  5. Step 5: Solve for x
    x = 6,161,779,009/49,355
  6. Step 6: Final answer
    x = 124,846.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.