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Finding the Third Proportional to 46,188 and 74,381

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Solution

The third proportional to 46,188 and 74,381 is: 119,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,188 : 74,381 = 74,381 : x
  2. Step 2: Convert to fraction form
    46,188/74,381 = 74,381/x
  3. Step 3: Cross multiply
    46,188x = 74,381 × 74,381
  4. Step 4: Simplify right side
    46,188x = 5,532,533,161
  5. Step 5: Solve for x
    x = 5,532,533,161/46,188
  6. Step 6: Final answer
    x = 119,782.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.