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Finding the Third Proportional to 64,694 and 141,418

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Solution

The third proportional to 64,694 and 141,418 is: 309,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694 : 141,418 = 141,418 : x
  2. Step 2: Convert to fraction form
    64,694/141,418 = 141,418/x
  3. Step 3: Cross multiply
    64,694x = 141,418 × 141,418
  4. Step 4: Simplify right side
    64,694x = 19,999,050,724
  5. Step 5: Solve for x
    x = 19,999,050,724/64,694
  6. Step 6: Final answer
    x = 309,133.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.