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Finding the Third Proportional to 87,712.50 and 184,594.50

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Solution

The third proportional to 87,712.50 and 184,594.50 is: 388,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,712.50 : 184,594.50 = 184,594.50 : x
  2. Step 2: Convert to fraction form
    87,712.50/184,594.50 = 184,594.50/x
  3. Step 3: Cross multiply
    87,712.50x = 184,594.50 × 184,594.50
  4. Step 4: Simplify right side
    87,712.50x = 34,075,129,430.25
  5. Step 5: Solve for x
    x = 34,075,129,430.25/87,712.50
  6. Step 6: Final answer
    x = 388,486.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.