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Finding the Third Proportional to 70,028 and 151,114

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Solution

The third proportional to 70,028 and 151,114 is: 326,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,028 : 151,114 = 151,114 : x
  2. Step 2: Convert to fraction form
    70,028/151,114 = 151,114/x
  3. Step 3: Cross multiply
    70,028x = 151,114 × 151,114
  4. Step 4: Simplify right side
    70,028x = 22,835,440,996
  5. Step 5: Solve for x
    x = 22,835,440,996/70,028
  6. Step 6: Final answer
    x = 326,090.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.