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Finding the Third Proportional to 46,201 and 97,922

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Solution

The third proportional to 46,201 and 97,922 is: 207,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,201 : 97,922 = 97,922 : x
  2. Step 2: Convert to fraction form
    46,201/97,922 = 97,922/x
  3. Step 3: Cross multiply
    46,201x = 97,922 × 97,922
  4. Step 4: Simplify right side
    46,201x = 9,588,718,084
  5. Step 5: Solve for x
    x = 9,588,718,084/46,201
  6. Step 6: Final answer
    x = 207,543.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.