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Finding the Third Proportional to 56,352 and 118,992

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Solution

The third proportional to 56,352 and 118,992 is: 251,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352 : 118,992 = 118,992 : x
  2. Step 2: Convert to fraction form
    56,352/118,992 = 118,992/x
  3. Step 3: Cross multiply
    56,352x = 118,992 × 118,992
  4. Step 4: Simplify right side
    56,352x = 14,159,096,064
  5. Step 5: Solve for x
    x = 14,159,096,064/56,352
  6. Step 6: Final answer
    x = 251,261.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.