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Finding the Third Proportional to 70,561.13 and 150,827.06

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Solution

The third proportional to 70,561.13 and 150,827.06 is: 322,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,561.13 : 150,827.06 = 150,827.06 : x
  2. Step 2: Convert to fraction form
    70,561.13/150,827.06 = 150,827.06/x
  3. Step 3: Cross multiply
    70,561.13x = 150,827.06 × 150,827.06
  4. Step 4: Simplify right side
    70,561.13x = 22,748,802,782.38
  5. Step 5: Solve for x
    x = 22,748,802,782.38/70,561.13
  6. Step 6: Final answer
    x = 322,398.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.