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Finding the Third Proportional to 53,583 and 75,478

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Solution

The third proportional to 53,583 and 75,478 is: 106,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,583 : 75,478 = 75,478 : x
  2. Step 2: Convert to fraction form
    53,583/75,478 = 75,478/x
  3. Step 3: Cross multiply
    53,583x = 75,478 × 75,478
  4. Step 4: Simplify right side
    53,583x = 5,696,928,484
  5. Step 5: Solve for x
    x = 5,696,928,484/53,583
  6. Step 6: Final answer
    x = 106,319.70

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