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Finding the Third Proportional to 46,044 and 94,680

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Solution

The third proportional to 46,044 and 94,680 is: 194,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044 : 94,680 = 94,680 : x
  2. Step 2: Convert to fraction form
    46,044/94,680 = 94,680/x
  3. Step 3: Cross multiply
    46,044x = 94,680 × 94,680
  4. Step 4: Simplify right side
    46,044x = 8,964,302,400
  5. Step 5: Solve for x
    x = 8,964,302,400/46,044
  6. Step 6: Final answer
    x = 194,689.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.