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Finding the Third Proportional to 46,142 and 71,254.50

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Solution

The third proportional to 46,142 and 71,254.50 is: 110,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142 : 71,254.50 = 71,254.50 : x
  2. Step 2: Convert to fraction form
    46,142/71,254.50 = 71,254.50/x
  3. Step 3: Cross multiply
    46,142x = 71,254.50 × 71,254.50
  4. Step 4: Simplify right side
    46,142x = 5,077,203,770.25
  5. Step 5: Solve for x
    x = 5,077,203,770.25/46,142
  6. Step 6: Final answer
    x = 110,034.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.