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Finding the Third Proportional to 55,194 and 87,435

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Solution

The third proportional to 55,194 and 87,435 is: 138,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,194 : 87,435 = 87,435 : x
  2. Step 2: Convert to fraction form
    55,194/87,435 = 87,435/x
  3. Step 3: Cross multiply
    55,194x = 87,435 × 87,435
  4. Step 4: Simplify right side
    55,194x = 7,644,879,225
  5. Step 5: Solve for x
    x = 7,644,879,225/55,194
  6. Step 6: Final answer
    x = 138,509.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.