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Finding the Third Proportional to 77,782.50 and 170,631

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Solution

The third proportional to 77,782.50 and 170,631 is: 374,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.50 : 170,631 = 170,631 : x
  2. Step 2: Convert to fraction form
    77,782.50/170,631 = 170,631/x
  3. Step 3: Cross multiply
    77,782.50x = 170,631 × 170,631
  4. Step 4: Simplify right side
    77,782.50x = 29,114,938,161
  5. Step 5: Solve for x
    x = 29,114,938,161/77,782.50
  6. Step 6: Final answer
    x = 374,312.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.