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Finding the Third Proportional to 136,160 and 196,112

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Solution

The third proportional to 136,160 and 196,112 is: 282,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,160 : 196,112 = 196,112 : x
  2. Step 2: Convert to fraction form
    136,160/196,112 = 196,112/x
  3. Step 3: Cross multiply
    136,160x = 196,112 × 196,112
  4. Step 4: Simplify right side
    136,160x = 38,459,916,544
  5. Step 5: Solve for x
    x = 38,459,916,544/136,160
  6. Step 6: Final answer
    x = 282,461.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.