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Finding the Third Proportional to 65,643 and 92,890.50

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Solution

The third proportional to 65,643 and 92,890.50 is: 131,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643 : 92,890.50 = 92,890.50 : x
  2. Step 2: Convert to fraction form
    65,643/92,890.50 = 92,890.50/x
  3. Step 3: Cross multiply
    65,643x = 92,890.50 × 92,890.50
  4. Step 4: Simplify right side
    65,643x = 8,628,644,990.25
  5. Step 5: Solve for x
    x = 8,628,644,990.25/65,643
  6. Step 6: Final answer
    x = 131,448.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.