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Finding the Third Proportional to 45,020 and 69,886

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Solution

The third proportional to 45,020 and 69,886 is: 108,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,020 : 69,886 = 69,886 : x
  2. Step 2: Convert to fraction form
    45,020/69,886 = 69,886/x
  3. Step 3: Cross multiply
    45,020x = 69,886 × 69,886
  4. Step 4: Simplify right side
    45,020x = 4,884,052,996
  5. Step 5: Solve for x
    x = 4,884,052,996/45,020
  6. Step 6: Final answer
    x = 108,486.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.