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Finding the Third Proportional to 45,114 and 63,072

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Solution

The third proportional to 45,114 and 63,072 is: 88,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,114 : 63,072 = 63,072 : x
  2. Step 2: Convert to fraction form
    45,114/63,072 = 63,072/x
  3. Step 3: Cross multiply
    45,114x = 63,072 × 63,072
  4. Step 4: Simplify right side
    45,114x = 3,978,077,184
  5. Step 5: Solve for x
    x = 3,978,077,184/45,114
  6. Step 6: Final answer
    x = 88,178.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.