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Finding the Third Proportional to 112,506 and 158,232

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Solution

The third proportional to 112,506 and 158,232 is: 222,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,506 : 158,232 = 158,232 : x
  2. Step 2: Convert to fraction form
    112,506/158,232 = 158,232/x
  3. Step 3: Cross multiply
    112,506x = 158,232 × 158,232
  4. Step 4: Simplify right side
    112,506x = 25,037,365,824
  5. Step 5: Solve for x
    x = 25,037,365,824/112,506
  6. Step 6: Final answer
    x = 222,542.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.