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Finding the Third Proportional to 70,393.13 and 145,776.56

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Solution

The third proportional to 70,393.13 and 145,776.56 is: 301,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,393.13 : 145,776.56 = 145,776.56 : x
  2. Step 2: Convert to fraction form
    70,393.13/145,776.56 = 145,776.56/x
  3. Step 3: Cross multiply
    70,393.13x = 145,776.56 × 145,776.56
  4. Step 4: Simplify right side
    70,393.13x = 21,250,806,174.32
  5. Step 5: Solve for x
    x = 21,250,806,174.32/70,393.13
  6. Step 6: Final answer
    x = 301,887.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.