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Finding the Third Proportional to 72,632 and 112,232

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Solution

The third proportional to 72,632 and 112,232 is: 173,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,632 : 112,232 = 112,232 : x
  2. Step 2: Convert to fraction form
    72,632/112,232 = 112,232/x
  3. Step 3: Cross multiply
    72,632x = 112,232 × 112,232
  4. Step 4: Simplify right side
    72,632x = 12,596,021,824
  5. Step 5: Solve for x
    x = 12,596,021,824/72,632
  6. Step 6: Final answer
    x = 173,422.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.