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Finding the Third Proportional to 46,251 and 92,461.50

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Solution

The third proportional to 46,251 and 92,461.50 is: 184,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251 : 92,461.50 = 92,461.50 : x
  2. Step 2: Convert to fraction form
    46,251/92,461.50 = 92,461.50/x
  3. Step 3: Cross multiply
    46,251x = 92,461.50 × 92,461.50
  4. Step 4: Simplify right side
    46,251x = 8,549,128,982.25
  5. Step 5: Solve for x
    x = 8,549,128,982.25/46,251
  6. Step 6: Final answer
    x = 184,842.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.