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Finding the Third Proportional to 102,159 and 158,553

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Solution

The third proportional to 102,159 and 158,553 is: 246,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159 : 158,553 = 158,553 : x
  2. Step 2: Convert to fraction form
    102,159/158,553 = 158,553/x
  3. Step 3: Cross multiply
    102,159x = 158,553 × 158,553
  4. Step 4: Simplify right side
    102,159x = 25,139,053,809
  5. Step 5: Solve for x
    x = 25,139,053,809/102,159
  6. Step 6: Final answer
    x = 246,077.72

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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.