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Finding the Third Proportional to 46,460 and 70,126

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Solution

The third proportional to 46,460 and 70,126 is: 105,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460 : 70,126 = 70,126 : x
  2. Step 2: Convert to fraction form
    46,460/70,126 = 70,126/x
  3. Step 3: Cross multiply
    46,460x = 70,126 × 70,126
  4. Step 4: Simplify right side
    46,460x = 4,917,655,876
  5. Step 5: Solve for x
    x = 4,917,655,876/46,460
  6. Step 6: Final answer
    x = 105,847.09

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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.