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Finding the Third Proportional to 46,656 and 74,202

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Solution

The third proportional to 46,656 and 74,202 is: 118,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 74,202 = 74,202 : x
  2. Step 2: Convert to fraction form
    46,656/74,202 = 74,202/x
  3. Step 3: Cross multiply
    46,656x = 74,202 × 74,202
  4. Step 4: Simplify right side
    46,656x = 5,505,936,804
  5. Step 5: Solve for x
    x = 5,505,936,804/46,656
  6. Step 6: Final answer
    x = 118,011.33

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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.