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Finding the Third Proportional to 53,758 and 75,208

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Solution

The third proportional to 53,758 and 75,208 is: 105,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758 : 75,208 = 75,208 : x
  2. Step 2: Convert to fraction form
    53,758/75,208 = 75,208/x
  3. Step 3: Cross multiply
    53,758x = 75,208 × 75,208
  4. Step 4: Simplify right side
    53,758x = 5,656,243,264
  5. Step 5: Solve for x
    x = 5,656,243,264/53,758
  6. Step 6: Final answer
    x = 105,216.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.