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Finding the Third Proportional to 52,992 and 112,118.63

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Solution

The third proportional to 52,992 and 112,118.63 is: 237,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,992 : 112,118.63 = 112,118.63 : x
  2. Step 2: Convert to fraction form
    52,992/112,118.63 = 112,118.63/x
  3. Step 3: Cross multiply
    52,992x = 112,118.63 × 112,118.63
  4. Step 4: Simplify right side
    52,992x = 12,570,586,071.89
  5. Step 5: Solve for x
    x = 12,570,586,071.89/52,992
  6. Step 6: Final answer
    x = 237,216.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.