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Finding the Third Proportional to 70,112 and 148,160

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Solution

The third proportional to 70,112 and 148,160 is: 313,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,112 : 148,160 = 148,160 : x
  2. Step 2: Convert to fraction form
    70,112/148,160 = 148,160/x
  3. Step 3: Cross multiply
    70,112x = 148,160 × 148,160
  4. Step 4: Simplify right side
    70,112x = 21,951,385,600
  5. Step 5: Solve for x
    x = 21,951,385,600/70,112
  6. Step 6: Final answer
    x = 313,090.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.