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Finding the Third Proportional to 75,823 and 115,570

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Solution

The third proportional to 75,823 and 115,570 is: 176,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823 : 115,570 = 115,570 : x
  2. Step 2: Convert to fraction form
    75,823/115,570 = 115,570/x
  3. Step 3: Cross multiply
    75,823x = 115,570 × 115,570
  4. Step 4: Simplify right side
    75,823x = 13,356,424,900
  5. Step 5: Solve for x
    x = 13,356,424,900/75,823
  6. Step 6: Final answer
    x = 176,152.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.