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Finding the Third Proportional to 111,064 and 158,287

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Solution

The third proportional to 111,064 and 158,287 is: 225,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,064 : 158,287 = 158,287 : x
  2. Step 2: Convert to fraction form
    111,064/158,287 = 158,287/x
  3. Step 3: Cross multiply
    111,064x = 158,287 × 158,287
  4. Step 4: Simplify right side
    111,064x = 25,054,774,369
  5. Step 5: Solve for x
    x = 25,054,774,369/111,064
  6. Step 6: Final answer
    x = 225,588.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.