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Finding the Third Proportional to 55,802 and 79,557

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Solution

The third proportional to 55,802 and 79,557 is: 113,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802 : 79,557 = 79,557 : x
  2. Step 2: Convert to fraction form
    55,802/79,557 = 79,557/x
  3. Step 3: Cross multiply
    55,802x = 79,557 × 79,557
  4. Step 4: Simplify right side
    55,802x = 6,329,316,249
  5. Step 5: Solve for x
    x = 6,329,316,249/55,802
  6. Step 6: Final answer
    x = 113,424.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.