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Finding the Third Proportional to 42,697.50 and 68,210.25

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Solution

The third proportional to 42,697.50 and 68,210.25 is: 108,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,697.50 : 68,210.25 = 68,210.25 : x
  2. Step 2: Convert to fraction form
    42,697.50/68,210.25 = 68,210.25/x
  3. Step 3: Cross multiply
    42,697.50x = 68,210.25 × 68,210.25
  4. Step 4: Simplify right side
    42,697.50x = 4,652,638,205.06
  5. Step 5: Solve for x
    x = 4,652,638,205.06/42,697.50
  6. Step 6: Final answer
    x = 108,967.46

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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.