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Finding the Third Proportional to 97,155 and 136,620

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Solution

The third proportional to 97,155 and 136,620 is: 192,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,155 : 136,620 = 136,620 : x
  2. Step 2: Convert to fraction form
    97,155/136,620 = 136,620/x
  3. Step 3: Cross multiply
    97,155x = 136,620 × 136,620
  4. Step 4: Simplify right side
    97,155x = 18,665,024,400
  5. Step 5: Solve for x
    x = 18,665,024,400/97,155
  6. Step 6: Final answer
    x = 192,115.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.