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Finding the Third Proportional to 68,560 and 103,570.50

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Solution

The third proportional to 68,560 and 103,570.50 is: 156,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,560 : 103,570.50 = 103,570.50 : x
  2. Step 2: Convert to fraction form
    68,560/103,570.50 = 103,570.50/x
  3. Step 3: Cross multiply
    68,560x = 103,570.50 × 103,570.50
  4. Step 4: Simplify right side
    68,560x = 10,726,848,470.25
  5. Step 5: Solve for x
    x = 10,726,848,470.25/68,560
  6. Step 6: Final answer
    x = 156,459.28

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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.