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Finding the Third Proportional to 66,673.13 and 102,956.06

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Solution

The third proportional to 66,673.13 and 102,956.06 is: 158,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,673.13 : 102,956.06 = 102,956.06 : x
  2. Step 2: Convert to fraction form
    66,673.13/102,956.06 = 102,956.06/x
  3. Step 3: Cross multiply
    66,673.13x = 102,956.06 × 102,956.06
  4. Step 4: Simplify right side
    66,673.13x = 10,599,950,805.50
  5. Step 5: Solve for x
    x = 10,599,950,805.50/66,673.13
  6. Step 6: Final answer
    x = 158,983.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.