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Finding the Third Proportional to 46,026 and 94,243.50

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Solution

The third proportional to 46,026 and 94,243.50 is: 192,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026 : 94,243.50 = 94,243.50 : x
  2. Step 2: Convert to fraction form
    46,026/94,243.50 = 94,243.50/x
  3. Step 3: Cross multiply
    46,026x = 94,243.50 × 94,243.50
  4. Step 4: Simplify right side
    46,026x = 8,881,837,292.25
  5. Step 5: Solve for x
    x = 8,881,837,292.25/46,026
  6. Step 6: Final answer
    x = 192,974.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.