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Finding the Third Proportional to 61,467 and 98,584.50

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Solution

The third proportional to 61,467 and 98,584.50 is: 158,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,467 : 98,584.50 = 98,584.50 : x
  2. Step 2: Convert to fraction form
    61,467/98,584.50 = 98,584.50/x
  3. Step 3: Cross multiply
    61,467x = 98,584.50 × 98,584.50
  4. Step 4: Simplify right side
    61,467x = 9,718,903,640.25
  5. Step 5: Solve for x
    x = 9,718,903,640.25/61,467
  6. Step 6: Final answer
    x = 158,115.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.