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Finding the Third Proportional to 43,617 and 94,209

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Solution

The third proportional to 43,617 and 94,209 is: 203,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,617 : 94,209 = 94,209 : x
  2. Step 2: Convert to fraction form
    43,617/94,209 = 94,209/x
  3. Step 3: Cross multiply
    43,617x = 94,209 × 94,209
  4. Step 4: Simplify right side
    43,617x = 8,875,335,681
  5. Step 5: Solve for x
    x = 8,875,335,681/43,617
  6. Step 6: Final answer
    x = 203,483.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.