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Finding the Third Proportional to 92,137.50 and 201,588.75

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Solution

The third proportional to 92,137.50 and 201,588.75 is: 441,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,137.50 : 201,588.75 = 201,588.75 : x
  2. Step 2: Convert to fraction form
    92,137.50/201,588.75 = 201,588.75/x
  3. Step 3: Cross multiply
    92,137.50x = 201,588.75 × 201,588.75
  4. Step 4: Simplify right side
    92,137.50x = 40,638,024,126.56
  5. Step 5: Solve for x
    x = 40,638,024,126.56/92,137.50
  6. Step 6: Final answer
    x = 441,058.46

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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.