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Finding the Third Proportional to 45,852 and 72,952

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Solution

The third proportional to 45,852 and 72,952 is: 116,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,852 : 72,952 = 72,952 : x
  2. Step 2: Convert to fraction form
    45,852/72,952 = 72,952/x
  3. Step 3: Cross multiply
    45,852x = 72,952 × 72,952
  4. Step 4: Simplify right side
    45,852x = 5,321,994,304
  5. Step 5: Solve for x
    x = 5,321,994,304/45,852
  6. Step 6: Final answer
    x = 116,068.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.