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Finding the Third Proportional to 46,656 and 99,072

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Solution

The third proportional to 46,656 and 99,072 is: 210,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 99,072 = 99,072 : x
  2. Step 2: Convert to fraction form
    46,656/99,072 = 99,072/x
  3. Step 3: Cross multiply
    46,656x = 99,072 × 99,072
  4. Step 4: Simplify right side
    46,656x = 9,815,261,184
  5. Step 5: Solve for x
    x = 9,815,261,184/46,656
  6. Step 6: Final answer
    x = 210,375.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.