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Finding the Third Proportional to 55,090.13 and 129,340.13

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Solution

The third proportional to 55,090.13 and 129,340.13 is: 303,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,090.13 : 129,340.13 = 129,340.13 : x
  2. Step 2: Convert to fraction form
    55,090.13/129,340.13 = 129,340.13/x
  3. Step 3: Cross multiply
    55,090.13x = 129,340.13 × 129,340.13
  4. Step 4: Simplify right side
    55,090.13x = 16,728,867,935.02
  5. Step 5: Solve for x
    x = 16,728,867,935.02/55,090.13
  6. Step 6: Final answer
    x = 303,663.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.