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Finding the Third Proportional to 46,542 and 97,017

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Solution

The third proportional to 46,542 and 97,017 is: 202,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,542 : 97,017 = 97,017 : x
  2. Step 2: Convert to fraction form
    46,542/97,017 = 97,017/x
  3. Step 3: Cross multiply
    46,542x = 97,017 × 97,017
  4. Step 4: Simplify right side
    46,542x = 9,412,298,289
  5. Step 5: Solve for x
    x = 9,412,298,289/46,542
  6. Step 6: Final answer
    x = 202,232.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.