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Finding the Third Proportional to 61,679.81 and 128,207.81

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Solution

The third proportional to 61,679.81 and 128,207.81 is: 266,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,679.81 : 128,207.81 = 128,207.81 : x
  2. Step 2: Convert to fraction form
    61,679.81/128,207.81 = 128,207.81/x
  3. Step 3: Cross multiply
    61,679.81x = 128,207.81 × 128,207.81
  4. Step 4: Simplify right side
    61,679.81x = 16,437,243,186.04
  5. Step 5: Solve for x
    x = 16,437,243,186.04/61,679.81
  6. Step 6: Final answer
    x = 266,493.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.