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Finding the Third Proportional to 65,468.75 and 139,523.50

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Solution

The third proportional to 65,468.75 and 139,523.50 is: 297,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468.75 : 139,523.50 = 139,523.50 : x
  2. Step 2: Convert to fraction form
    65,468.75/139,523.50 = 139,523.50/x
  3. Step 3: Cross multiply
    65,468.75x = 139,523.50 × 139,523.50
  4. Step 4: Simplify right side
    65,468.75x = 19,466,807,052.25
  5. Step 5: Solve for x
    x = 19,466,807,052.25/65,468.75
  6. Step 6: Final answer
    x = 297,345.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.