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Finding the Third Proportional to 45,293.50 and 106,575

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Solution

The third proportional to 45,293.50 and 106,575 is: 250,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,293.50 : 106,575 = 106,575 : x
  2. Step 2: Convert to fraction form
    45,293.50/106,575 = 106,575/x
  3. Step 3: Cross multiply
    45,293.50x = 106,575 × 106,575
  4. Step 4: Simplify right side
    45,293.50x = 11,358,230,625
  5. Step 5: Solve for x
    x = 11,358,230,625/45,293.50
  6. Step 6: Final answer
    x = 250,769.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.