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Finding the Third Proportional to 111,070 and 158,295

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Solution

The third proportional to 111,070 and 158,295 is: 225,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,070 : 158,295 = 158,295 : x
  2. Step 2: Convert to fraction form
    111,070/158,295 = 158,295/x
  3. Step 3: Cross multiply
    111,070x = 158,295 × 158,295
  4. Step 4: Simplify right side
    111,070x = 25,057,307,025
  5. Step 5: Solve for x
    x = 25,057,307,025/111,070
  6. Step 6: Final answer
    x = 225,599.23

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