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Finding the Third Proportional to 55,590 and 83,233

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Solution

The third proportional to 55,590 and 83,233 is: 124,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,590 : 83,233 = 83,233 : x
  2. Step 2: Convert to fraction form
    55,590/83,233 = 83,233/x
  3. Step 3: Cross multiply
    55,590x = 83,233 × 83,233
  4. Step 4: Simplify right side
    55,590x = 6,927,732,289
  5. Step 5: Solve for x
    x = 6,927,732,289/55,590
  6. Step 6: Final answer
    x = 124,621.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.