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Finding the Third Proportional to 65,548 and 154,078

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Solution

The third proportional to 65,548 and 154,078 is: 362,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,548 : 154,078 = 154,078 : x
  2. Step 2: Convert to fraction form
    65,548/154,078 = 154,078/x
  3. Step 3: Cross multiply
    65,548x = 154,078 × 154,078
  4. Step 4: Simplify right side
    65,548x = 23,740,030,084
  5. Step 5: Solve for x
    x = 23,740,030,084/65,548
  6. Step 6: Final answer
    x = 362,177.79

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Why These Related Problems?

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