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Finding the Third Proportional to 46,896 and 97,074

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Solution

The third proportional to 46,896 and 97,074 is: 200,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896 : 97,074 = 97,074 : x
  2. Step 2: Convert to fraction form
    46,896/97,074 = 97,074/x
  3. Step 3: Cross multiply
    46,896x = 97,074 × 97,074
  4. Step 4: Simplify right side
    46,896x = 9,423,361,476
  5. Step 5: Solve for x
    x = 9,423,361,476/46,896
  6. Step 6: Final answer
    x = 200,941.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.