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Finding the Third Proportional to 105,774.75 and 165,098.25

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Solution

The third proportional to 105,774.75 and 165,098.25 is: 257,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,774.75 : 165,098.25 = 165,098.25 : x
  2. Step 2: Convert to fraction form
    105,774.75/165,098.25 = 165,098.25/x
  3. Step 3: Cross multiply
    105,774.75x = 165,098.25 × 165,098.25
  4. Step 4: Simplify right side
    105,774.75x = 27,257,432,153.06
  5. Step 5: Solve for x
    x = 27,257,432,153.06/105,774.75
  6. Step 6: Final answer
    x = 257,693.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.