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Finding the Third Proportional to 55,594 and 128,593

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Solution

The third proportional to 55,594 and 128,593 is: 297,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,594 : 128,593 = 128,593 : x
  2. Step 2: Convert to fraction form
    55,594/128,593 = 128,593/x
  3. Step 3: Cross multiply
    55,594x = 128,593 × 128,593
  4. Step 4: Simplify right side
    55,594x = 16,536,159,649
  5. Step 5: Solve for x
    x = 16,536,159,649/55,594
  6. Step 6: Final answer
    x = 297,445.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.