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Finding the Third Proportional to 46,565 and 97,692

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Solution

The third proportional to 46,565 and 97,692 is: 204,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,565 : 97,692 = 97,692 : x
  2. Step 2: Convert to fraction form
    46,565/97,692 = 97,692/x
  3. Step 3: Cross multiply
    46,565x = 97,692 × 97,692
  4. Step 4: Simplify right side
    46,565x = 9,543,726,864
  5. Step 5: Solve for x
    x = 9,543,726,864/46,565
  6. Step 6: Final answer
    x = 204,954.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.