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Finding the Third Proportional to 110,355.75 and 164,710.13

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Solution

The third proportional to 110,355.75 and 164,710.13 is: 245,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,355.75 : 164,710.13 = 164,710.13 : x
  2. Step 2: Convert to fraction form
    110,355.75/164,710.13 = 164,710.13/x
  3. Step 3: Cross multiply
    110,355.75x = 164,710.13 × 164,710.13
  4. Step 4: Simplify right side
    110,355.75x = 27,129,425,277.52
  5. Step 5: Solve for x
    x = 27,129,425,277.52/110,355.75
  6. Step 6: Final answer
    x = 245,836.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.