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Finding the Third Proportional to 102,226 and 159,555

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Solution

The third proportional to 102,226 and 159,555 is: 249,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,226 : 159,555 = 159,555 : x
  2. Step 2: Convert to fraction form
    102,226/159,555 = 159,555/x
  3. Step 3: Cross multiply
    102,226x = 159,555 × 159,555
  4. Step 4: Simplify right side
    102,226x = 25,457,798,025
  5. Step 5: Solve for x
    x = 25,457,798,025/102,226
  6. Step 6: Final answer
    x = 249,034.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.