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Finding the Third Proportional to 55,408 and 118,056

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Solution

The third proportional to 55,408 and 118,056 is: 251,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,408 : 118,056 = 118,056 : x
  2. Step 2: Convert to fraction form
    55,408/118,056 = 118,056/x
  3. Step 3: Cross multiply
    55,408x = 118,056 × 118,056
  4. Step 4: Simplify right side
    55,408x = 13,937,219,136
  5. Step 5: Solve for x
    x = 13,937,219,136/55,408
  6. Step 6: Final answer
    x = 251,538.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.