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Finding the Third Proportional to 46,780 and 74,361

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Solution

The third proportional to 46,780 and 74,361 is: 118,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 74,361 = 74,361 : x
  2. Step 2: Convert to fraction form
    46,780/74,361 = 74,361/x
  3. Step 3: Cross multiply
    46,780x = 74,361 × 74,361
  4. Step 4: Simplify right side
    46,780x = 5,529,558,321
  5. Step 5: Solve for x
    x = 5,529,558,321/46,780
  6. Step 6: Final answer
    x = 118,203.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.