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Finding the Third Proportional to 66,784 and 104,005.50

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Solution

The third proportional to 66,784 and 104,005.50 is: 161,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784 : 104,005.50 = 104,005.50 : x
  2. Step 2: Convert to fraction form
    66,784/104,005.50 = 104,005.50/x
  3. Step 3: Cross multiply
    66,784x = 104,005.50 × 104,005.50
  4. Step 4: Simplify right side
    66,784x = 10,817,144,030.25
  5. Step 5: Solve for x
    x = 10,817,144,030.25/66,784
  6. Step 6: Final answer
    x = 161,972.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.