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Finding the Third Proportional to 94,595.25 and 203,541

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Solution

The third proportional to 94,595.25 and 203,541 is: 437,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,595.25 : 203,541 = 203,541 : x
  2. Step 2: Convert to fraction form
    94,595.25/203,541 = 203,541/x
  3. Step 3: Cross multiply
    94,595.25x = 203,541 × 203,541
  4. Step 4: Simplify right side
    94,595.25x = 41,428,938,681
  5. Step 5: Solve for x
    x = 41,428,938,681/94,595.25
  6. Step 6: Final answer
    x = 437,960.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.