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Finding the Third Proportional to 46,103 and 69,578

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Solution

The third proportional to 46,103 and 69,578 is: 105,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,103 : 69,578 = 69,578 : x
  2. Step 2: Convert to fraction form
    46,103/69,578 = 69,578/x
  3. Step 3: Cross multiply
    46,103x = 69,578 × 69,578
  4. Step 4: Simplify right side
    46,103x = 4,841,098,084
  5. Step 5: Solve for x
    x = 4,841,098,084/46,103
  6. Step 6: Final answer
    x = 105,006.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.