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Finding the Third Proportional to 94,527 and 143,383.50

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Solution

The third proportional to 94,527 and 143,383.50 is: 217,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,527 : 143,383.50 = 143,383.50 : x
  2. Step 2: Convert to fraction form
    94,527/143,383.50 = 143,383.50/x
  3. Step 3: Cross multiply
    94,527x = 143,383.50 × 143,383.50
  4. Step 4: Simplify right side
    94,527x = 20,558,828,072.25
  5. Step 5: Solve for x
    x = 20,558,828,072.25/94,527
  6. Step 6: Final answer
    x = 217,491.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.