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Finding the Third Proportional to 70,484.13 and 151,971.25

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Solution

The third proportional to 70,484.13 and 151,971.25 is: 327,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,484.13 : 151,971.25 = 151,971.25 : x
  2. Step 2: Convert to fraction form
    70,484.13/151,971.25 = 151,971.25/x
  3. Step 3: Cross multiply
    70,484.13x = 151,971.25 × 151,971.25
  4. Step 4: Simplify right side
    70,484.13x = 23,095,260,826.56
  5. Step 5: Solve for x
    x = 23,095,260,826.56/70,484.13
  6. Step 6: Final answer
    x = 327,666.14

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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.