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Finding the Third Proportional to 49,205 and 75,711

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Solution

The third proportional to 49,205 and 75,711 is: 116,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,205 : 75,711 = 75,711 : x
  2. Step 2: Convert to fraction form
    49,205/75,711 = 75,711/x
  3. Step 3: Cross multiply
    49,205x = 75,711 × 75,711
  4. Step 4: Simplify right side
    49,205x = 5,732,155,521
  5. Step 5: Solve for x
    x = 5,732,155,521/49,205
  6. Step 6: Final answer
    x = 116,495.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.