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Finding the Third Proportional to 68,875 and 104,352.50

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Solution

The third proportional to 68,875 and 104,352.50 is: 158,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,875 : 104,352.50 = 104,352.50 : x
  2. Step 2: Convert to fraction form
    68,875/104,352.50 = 104,352.50/x
  3. Step 3: Cross multiply
    68,875x = 104,352.50 × 104,352.50
  4. Step 4: Simplify right side
    68,875x = 10,889,444,256.25
  5. Step 5: Solve for x
    x = 10,889,444,256.25/68,875
  6. Step 6: Final answer
    x = 158,104.45

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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.