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Finding the Third Proportional to 102,995.72 and 159,159.94

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Solution

The third proportional to 102,995.72 and 159,159.94 is: 245,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.72 : 159,159.94 = 159,159.94 : x
  2. Step 2: Convert to fraction form
    102,995.72/159,159.94 = 159,159.94/x
  3. Step 3: Cross multiply
    102,995.72x = 159,159.94 × 159,159.94
  4. Step 4: Simplify right side
    102,995.72x = 25,331,885,705.00
  5. Step 5: Solve for x
    x = 25,331,885,705.00/102,995.72
  6. Step 6: Final answer
    x = 245,950.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.