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Finding the Third Proportional to 46,085 and 69,550

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Solution

The third proportional to 46,085 and 69,550 is: 104,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,085 : 69,550 = 69,550 : x
  2. Step 2: Convert to fraction form
    46,085/69,550 = 69,550/x
  3. Step 3: Cross multiply
    46,085x = 69,550 × 69,550
  4. Step 4: Simplify right side
    46,085x = 4,837,202,500
  5. Step 5: Solve for x
    x = 4,837,202,500/46,085
  6. Step 6: Final answer
    x = 104,962.62

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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.