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Finding the Third Proportional to 102,526 and 159,120

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Solution

The third proportional to 102,526 and 159,120 is: 246,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,526 : 159,120 = 159,120 : x
  2. Step 2: Convert to fraction form
    102,526/159,120 = 159,120/x
  3. Step 3: Cross multiply
    102,526x = 159,120 × 159,120
  4. Step 4: Simplify right side
    102,526x = 25,319,174,400
  5. Step 5: Solve for x
    x = 25,319,174,400/102,526
  6. Step 6: Final answer
    x = 246,953.69

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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.