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Finding the Third Proportional to 46,254 and 69,706

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Solution

The third proportional to 46,254 and 69,706 is: 105,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 69,706 = 69,706 : x
  2. Step 2: Convert to fraction form
    46,254/69,706 = 69,706/x
  3. Step 3: Cross multiply
    46,254x = 69,706 × 69,706
  4. Step 4: Simplify right side
    46,254x = 4,858,926,436
  5. Step 5: Solve for x
    x = 4,858,926,436/46,254
  6. Step 6: Final answer
    x = 105,048.78

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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.