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Finding the Third Proportional to 55,594 and 131,156

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Solution

The third proportional to 55,594 and 131,156 is: 309,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,594 : 131,156 = 131,156 : x
  2. Step 2: Convert to fraction form
    55,594/131,156 = 131,156/x
  3. Step 3: Cross multiply
    55,594x = 131,156 × 131,156
  4. Step 4: Simplify right side
    55,594x = 17,201,896,336
  5. Step 5: Solve for x
    x = 17,201,896,336/55,594
  6. Step 6: Final answer
    x = 309,420.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.