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Finding the Third Proportional to 46,946 and 97,760

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Solution

The third proportional to 46,946 and 97,760 is: 203,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946 : 97,760 = 97,760 : x
  2. Step 2: Convert to fraction form
    46,946/97,760 = 97,760/x
  3. Step 3: Cross multiply
    46,946x = 97,760 × 97,760
  4. Step 4: Simplify right side
    46,946x = 9,557,017,600
  5. Step 5: Solve for x
    x = 9,557,017,600/46,946
  6. Step 6: Final answer
    x = 203,574.69

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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.