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Finding the Third Proportional to 46,287 and 70,079

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Solution

The third proportional to 46,287 and 70,079 is: 106,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287 : 70,079 = 70,079 : x
  2. Step 2: Convert to fraction form
    46,287/70,079 = 70,079/x
  3. Step 3: Cross multiply
    46,287x = 70,079 × 70,079
  4. Step 4: Simplify right side
    46,287x = 4,911,066,241
  5. Step 5: Solve for x
    x = 4,911,066,241/46,287
  6. Step 6: Final answer
    x = 106,100.34

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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.