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Finding the Third Proportional to 68,985 and 104,017.50

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Solution

The third proportional to 68,985 and 104,017.50 is: 156,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,985 : 104,017.50 = 104,017.50 : x
  2. Step 2: Convert to fraction form
    68,985/104,017.50 = 104,017.50/x
  3. Step 3: Cross multiply
    68,985x = 104,017.50 × 104,017.50
  4. Step 4: Simplify right side
    68,985x = 10,819,640,306.25
  5. Step 5: Solve for x
    x = 10,819,640,306.25/68,985
  6. Step 6: Final answer
    x = 156,840.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.