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Finding the Third Proportional to 46,143.42 and 72,290.60

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Solution

The third proportional to 46,143.42 and 72,290.60 is: 113,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143.42 : 72,290.60 = 72,290.60 : x
  2. Step 2: Convert to fraction form
    46,143.42/72,290.60 = 72,290.60/x
  3. Step 3: Cross multiply
    46,143.42x = 72,290.60 × 72,290.60
  4. Step 4: Simplify right side
    46,143.42x = 5,225,931,074.27
  5. Step 5: Solve for x
    x = 5,225,931,074.27/46,143.42
  6. Step 6: Final answer
    x = 113,254.09

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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.