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Finding the Third Proportional to 72,927 and 112,504

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Solution

The third proportional to 72,927 and 112,504 is: 173,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,927 : 112,504 = 112,504 : x
  2. Step 2: Convert to fraction form
    72,927/112,504 = 112,504/x
  3. Step 3: Cross multiply
    72,927x = 112,504 × 112,504
  4. Step 4: Simplify right side
    72,927x = 12,657,150,016
  5. Step 5: Solve for x
    x = 12,657,150,016/72,927
  6. Step 6: Final answer
    x = 173,559.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.