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Finding the Third Proportional to 65,610 and 154,038

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Solution

The third proportional to 65,610 and 154,038 is: 361,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,610 : 154,038 = 154,038 : x
  2. Step 2: Convert to fraction form
    65,610/154,038 = 154,038/x
  3. Step 3: Cross multiply
    65,610x = 154,038 × 154,038
  4. Step 4: Simplify right side
    65,610x = 23,727,705,444
  5. Step 5: Solve for x
    x = 23,727,705,444/65,610
  6. Step 6: Final answer
    x = 361,647.70

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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.