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Finding the Third Proportional to 46,490 and 70,172

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Solution

The third proportional to 46,490 and 70,172 is: 105,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,490 : 70,172 = 70,172 : x
  2. Step 2: Convert to fraction form
    46,490/70,172 = 70,172/x
  3. Step 3: Cross multiply
    46,490x = 70,172 × 70,172
  4. Step 4: Simplify right side
    46,490x = 4,924,109,584
  5. Step 5: Solve for x
    x = 4,924,109,584/46,490
  6. Step 6: Final answer
    x = 105,917.61

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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.