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Finding the Third Proportional to 43,347 and 94,957

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Solution

The third proportional to 43,347 and 94,957 is: 208,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,347 : 94,957 = 94,957 : x
  2. Step 2: Convert to fraction form
    43,347/94,957 = 94,957/x
  3. Step 3: Cross multiply
    43,347x = 94,957 × 94,957
  4. Step 4: Simplify right side
    43,347x = 9,016,831,849
  5. Step 5: Solve for x
    x = 9,016,831,849/43,347
  6. Step 6: Final answer
    x = 208,015.13

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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.