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Finding the Third Proportional to 65,522.25 and 154,024.88

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Solution

The third proportional to 65,522.25 and 154,024.88 is: 362,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522.25 : 154,024.88 = 154,024.88 : x
  2. Step 2: Convert to fraction form
    65,522.25/154,024.88 = 154,024.88/x
  3. Step 3: Cross multiply
    65,522.25x = 154,024.88 × 154,024.88
  4. Step 4: Simplify right side
    65,522.25x = 23,723,662,118.77
  5. Step 5: Solve for x
    x = 23,723,662,118.77/65,522.25
  6. Step 6: Final answer
    x = 362,070.32

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.