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Finding the Third Proportional to 63,197 and 94,957

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Solution

The third proportional to 63,197 and 94,957 is: 142,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,197 : 94,957 = 94,957 : x
  2. Step 2: Convert to fraction form
    63,197/94,957 = 94,957/x
  3. Step 3: Cross multiply
    63,197x = 94,957 × 94,957
  4. Step 4: Simplify right side
    63,197x = 9,016,831,849
  5. Step 5: Solve for x
    x = 9,016,831,849/63,197
  6. Step 6: Final answer
    x = 142,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.