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Finding the Third Proportional to 62,064 and 134,928

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Solution

The third proportional to 62,064 and 134,928 is: 293,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064 : 134,928 = 134,928 : x
  2. Step 2: Convert to fraction form
    62,064/134,928 = 134,928/x
  3. Step 3: Cross multiply
    62,064x = 134,928 × 134,928
  4. Step 4: Simplify right side
    62,064x = 18,205,565,184
  5. Step 5: Solve for x
    x = 18,205,565,184/62,064
  6. Step 6: Final answer
    x = 293,335.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.