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Finding the Third Proportional to 55,776 and 120,672

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Solution

The third proportional to 55,776 and 120,672 is: 261,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776 : 120,672 = 120,672 : x
  2. Step 2: Convert to fraction form
    55,776/120,672 = 120,672/x
  3. Step 3: Cross multiply
    55,776x = 120,672 × 120,672
  4. Step 4: Simplify right side
    55,776x = 14,561,731,584
  5. Step 5: Solve for x
    x = 14,561,731,584/55,776
  6. Step 6: Final answer
    x = 261,075.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.