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Finding the Third Proportional to 46,264 and 90,224

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Solution

The third proportional to 46,264 and 90,224 is: 175,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,264 : 90,224 = 90,224 : x
  2. Step 2: Convert to fraction form
    46,264/90,224 = 90,224/x
  3. Step 3: Cross multiply
    46,264x = 90,224 × 90,224
  4. Step 4: Simplify right side
    46,264x = 8,140,370,176
  5. Step 5: Solve for x
    x = 8,140,370,176/46,264
  6. Step 6: Final answer
    x = 175,954.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.