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Finding the Third Proportional to 55,953 and 122,537

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Solution

The third proportional to 55,953 and 122,537 is: 268,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,953 : 122,537 = 122,537 : x
  2. Step 2: Convert to fraction form
    55,953/122,537 = 122,537/x
  3. Step 3: Cross multiply
    55,953x = 122,537 × 122,537
  4. Step 4: Simplify right side
    55,953x = 15,015,316,369
  5. Step 5: Solve for x
    x = 15,015,316,369/55,953
  6. Step 6: Final answer
    x = 268,355.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.