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Finding the Third Proportional to 107,429.63 and 164,575.13

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Solution

The third proportional to 107,429.63 and 164,575.13 is: 252,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,429.63 : 164,575.13 = 164,575.13 : x
  2. Step 2: Convert to fraction form
    107,429.63/164,575.13 = 164,575.13/x
  3. Step 3: Cross multiply
    107,429.63x = 164,575.13 × 164,575.13
  4. Step 4: Simplify right side
    107,429.63x = 27,084,971,768.77
  5. Step 5: Solve for x
    x = 27,084,971,768.77/107,429.63
  6. Step 6: Final answer
    x = 252,118.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.