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Finding the Third Proportional to 102,172 and 136,362

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Solution

The third proportional to 102,172 and 136,362 is: 181,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,172 : 136,362 = 136,362 : x
  2. Step 2: Convert to fraction form
    102,172/136,362 = 136,362/x
  3. Step 3: Cross multiply
    102,172x = 136,362 × 136,362
  4. Step 4: Simplify right side
    102,172x = 18,594,595,044
  5. Step 5: Solve for x
    x = 18,594,595,044/102,172
  6. Step 6: Final answer
    x = 181,993.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.