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Finding the Third Proportional to 65,054 and 141,998

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Solution

The third proportional to 65,054 and 141,998 is: 309,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,054 : 141,998 = 141,998 : x
  2. Step 2: Convert to fraction form
    65,054/141,998 = 141,998/x
  3. Step 3: Cross multiply
    65,054x = 141,998 × 141,998
  4. Step 4: Simplify right side
    65,054x = 20,163,432,004
  5. Step 5: Solve for x
    x = 20,163,432,004/65,054
  6. Step 6: Final answer
    x = 309,949.15

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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.