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Finding the Third Proportional to 46,042.01 and 69,234.35

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Solution

The third proportional to 46,042.01 and 69,234.35 is: 104,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,042.01 : 69,234.35 = 69,234.35 : x
  2. Step 2: Convert to fraction form
    46,042.01/69,234.35 = 69,234.35/x
  3. Step 3: Cross multiply
    46,042.01x = 69,234.35 × 69,234.35
  4. Step 4: Simplify right side
    46,042.01x = 4,793,395,841.95
  5. Step 5: Solve for x
    x = 4,793,395,841.95/46,042.01
  6. Step 6: Final answer
    x = 104,109.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.