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Finding the Third Proportional to 65,842.88 and 139,522.50

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Solution

The third proportional to 65,842.88 and 139,522.50 is: 295,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.88 : 139,522.50 = 139,522.50 : x
  2. Step 2: Convert to fraction form
    65,842.88/139,522.50 = 139,522.50/x
  3. Step 3: Cross multiply
    65,842.88x = 139,522.50 × 139,522.50
  4. Step 4: Simplify right side
    65,842.88x = 19,466,528,006.25
  5. Step 5: Solve for x
    x = 19,466,528,006.25/65,842.88
  6. Step 6: Final answer
    x = 295,651.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.