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Finding the Third Proportional to 55,594 and 122,260

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Solution

The third proportional to 55,594 and 122,260 is: 268,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,594 : 122,260 = 122,260 : x
  2. Step 2: Convert to fraction form
    55,594/122,260 = 122,260/x
  3. Step 3: Cross multiply
    55,594x = 122,260 × 122,260
  4. Step 4: Simplify right side
    55,594x = 14,947,507,600
  5. Step 5: Solve for x
    x = 14,947,507,600/55,594
  6. Step 6: Final answer
    x = 268,869.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.