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Finding the Third Proportional to 101,039.63 and 164,265.19

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Solution

The third proportional to 101,039.63 and 164,265.19 is: 267,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,039.63 : 164,265.19 = 164,265.19 : x
  2. Step 2: Convert to fraction form
    101,039.63/164,265.19 = 164,265.19/x
  3. Step 3: Cross multiply
    101,039.63x = 164,265.19 × 164,265.19
  4. Step 4: Simplify right side
    101,039.63x = 26,983,051,824.41
  5. Step 5: Solve for x
    x = 26,983,051,824.41/101,039.63
  6. Step 6: Final answer
    x = 267,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.