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Finding the Third Proportional to 106,848.75 and 164,899.13

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Solution

The third proportional to 106,848.75 and 164,899.13 is: 254,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,848.75 : 164,899.13 = 164,899.13 : x
  2. Step 2: Convert to fraction form
    106,848.75/164,899.13 = 164,899.13/x
  3. Step 3: Cross multiply
    106,848.75x = 164,899.13 × 164,899.13
  4. Step 4: Simplify right side
    106,848.75x = 27,191,721,425.77
  5. Step 5: Solve for x
    x = 27,191,721,425.77/106,848.75
  6. Step 6: Final answer
    x = 254,487.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.