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Finding the Third Proportional to 102,960 and 159,570

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Solution

The third proportional to 102,960 and 159,570 is: 247,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960 : 159,570 = 159,570 : x
  2. Step 2: Convert to fraction form
    102,960/159,570 = 159,570/x
  3. Step 3: Cross multiply
    102,960x = 159,570 × 159,570
  4. Step 4: Simplify right side
    102,960x = 25,462,584,900
  5. Step 5: Solve for x
    x = 25,462,584,900/102,960
  6. Step 6: Final answer
    x = 247,305.60

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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.