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Finding the Third Proportional to 46,202.50 and 78,340.50

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Solution

The third proportional to 46,202.50 and 78,340.50 is: 132,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202.50 : 78,340.50 = 78,340.50 : x
  2. Step 2: Convert to fraction form
    46,202.50/78,340.50 = 78,340.50/x
  3. Step 3: Cross multiply
    46,202.50x = 78,340.50 × 78,340.50
  4. Step 4: Simplify right side
    46,202.50x = 6,137,233,940.25
  5. Step 5: Solve for x
    x = 6,137,233,940.25/46,202.50
  6. Step 6: Final answer
    x = 132,833.37

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.