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Finding the Third Proportional to 77,765 and 170,146

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Solution

The third proportional to 77,765 and 170,146 is: 372,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,765 : 170,146 = 170,146 : x
  2. Step 2: Convert to fraction form
    77,765/170,146 = 170,146/x
  3. Step 3: Cross multiply
    77,765x = 170,146 × 170,146
  4. Step 4: Simplify right side
    77,765x = 28,949,661,316
  5. Step 5: Solve for x
    x = 28,949,661,316/77,765
  6. Step 6: Final answer
    x = 372,271.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.