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Finding the Third Proportional to 69,654.50 and 101,562

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Solution

The third proportional to 69,654.50 and 101,562 is: 148,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,654.50 : 101,562 = 101,562 : x
  2. Step 2: Convert to fraction form
    69,654.50/101,562 = 101,562/x
  3. Step 3: Cross multiply
    69,654.50x = 101,562 × 101,562
  4. Step 4: Simplify right side
    69,654.50x = 10,314,839,844
  5. Step 5: Solve for x
    x = 10,314,839,844/69,654.50
  6. Step 6: Final answer
    x = 148,085.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.