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Finding the Third Proportional to 106,381.31 and 164,714.63

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Solution

The third proportional to 106,381.31 and 164,714.63 is: 255,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,381.31 : 164,714.63 = 164,714.63 : x
  2. Step 2: Convert to fraction form
    106,381.31/164,714.63 = 164,714.63/x
  3. Step 3: Cross multiply
    106,381.31x = 164,714.63 × 164,714.63
  4. Step 4: Simplify right side
    106,381.31x = 27,130,907,688.89
  5. Step 5: Solve for x
    x = 27,130,907,688.89/106,381.31
  6. Step 6: Final answer
    x = 255,034.53

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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.