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Finding the Third Proportional to 46,202.50 and 85,205.50

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Solution

The third proportional to 46,202.50 and 85,205.50 is: 157,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202.50 : 85,205.50 = 85,205.50 : x
  2. Step 2: Convert to fraction form
    46,202.50/85,205.50 = 85,205.50/x
  3. Step 3: Cross multiply
    46,202.50x = 85,205.50 × 85,205.50
  4. Step 4: Simplify right side
    46,202.50x = 7,259,977,230.25
  5. Step 5: Solve for x
    x = 7,259,977,230.25/46,202.50
  6. Step 6: Final answer
    x = 157,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.