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Finding the Third Proportional to 65,088 and 141,918

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Solution

The third proportional to 65,088 and 141,918 is: 309,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088 : 141,918 = 141,918 : x
  2. Step 2: Convert to fraction form
    65,088/141,918 = 141,918/x
  3. Step 3: Cross multiply
    65,088x = 141,918 × 141,918
  4. Step 4: Simplify right side
    65,088x = 20,140,718,724
  5. Step 5: Solve for x
    x = 20,140,718,724/65,088
  6. Step 6: Final answer
    x = 309,438.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.