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Finding the Third Proportional to 46,143 and 72,493.75

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Solution

The third proportional to 46,143 and 72,493.75 is: 113,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143 : 72,493.75 = 72,493.75 : x
  2. Step 2: Convert to fraction form
    46,143/72,493.75 = 72,493.75/x
  3. Step 3: Cross multiply
    46,143x = 72,493.75 × 72,493.75
  4. Step 4: Simplify right side
    46,143x = 5,255,343,789.06
  5. Step 5: Solve for x
    x = 5,255,343,789.06/46,143
  6. Step 6: Final answer
    x = 113,892.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.