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Finding the Third Proportional to 46,152 and 72,302

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Solution

The third proportional to 46,152 and 72,302 is: 113,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152 : 72,302 = 72,302 : x
  2. Step 2: Convert to fraction form
    46,152/72,302 = 72,302/x
  3. Step 3: Cross multiply
    46,152x = 72,302 × 72,302
  4. Step 4: Simplify right side
    46,152x = 5,227,579,204
  5. Step 5: Solve for x
    x = 5,227,579,204/46,152
  6. Step 6: Final answer
    x = 113,268.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.