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Finding the Third Proportional to 45,309 and 106,603.50

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Solution

The third proportional to 45,309 and 106,603.50 is: 250,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309 : 106,603.50 = 106,603.50 : x
  2. Step 2: Convert to fraction form
    45,309/106,603.50 = 106,603.50/x
  3. Step 3: Cross multiply
    45,309x = 106,603.50 × 106,603.50
  4. Step 4: Simplify right side
    45,309x = 11,364,306,212.25
  5. Step 5: Solve for x
    x = 11,364,306,212.25/45,309
  6. Step 6: Final answer
    x = 250,817.86

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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.