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Finding the Third Proportional to 91,679 and 145,871.50

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Solution

The third proportional to 91,679 and 145,871.50 is: 232,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,679 : 145,871.50 = 145,871.50 : x
  2. Step 2: Convert to fraction form
    91,679/145,871.50 = 145,871.50/x
  3. Step 3: Cross multiply
    91,679x = 145,871.50 × 145,871.50
  4. Step 4: Simplify right side
    91,679x = 21,278,494,512.25
  5. Step 5: Solve for x
    x = 21,278,494,512.25/91,679
  6. Step 6: Final answer
    x = 232,097.80

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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.