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Finding the Third Proportional to 94,726 and 203,486

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Solution

The third proportional to 94,726 and 203,486 is: 437,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,726 : 203,486 = 203,486 : x
  2. Step 2: Convert to fraction form
    94,726/203,486 = 203,486/x
  3. Step 3: Cross multiply
    94,726x = 203,486 × 203,486
  4. Step 4: Simplify right side
    94,726x = 41,406,552,196
  5. Step 5: Solve for x
    x = 41,406,552,196/94,726
  6. Step 6: Final answer
    x = 437,119.19

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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.