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Finding the Third Proportional to 46,288 and 70,081

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Solution

The third proportional to 46,288 and 70,081 is: 106,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,288 : 70,081 = 70,081 : x
  2. Step 2: Convert to fraction form
    46,288/70,081 = 70,081/x
  3. Step 3: Cross multiply
    46,288x = 70,081 × 70,081
  4. Step 4: Simplify right side
    46,288x = 4,911,346,561
  5. Step 5: Solve for x
    x = 4,911,346,561/46,288
  6. Step 6: Final answer
    x = 106,104.10

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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.