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Finding the Third Proportional to 64,959 and 141,674

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Solution

The third proportional to 64,959 and 141,674 is: 308,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,959 : 141,674 = 141,674 : x
  2. Step 2: Convert to fraction form
    64,959/141,674 = 141,674/x
  3. Step 3: Cross multiply
    64,959x = 141,674 × 141,674
  4. Step 4: Simplify right side
    64,959x = 20,071,522,276
  5. Step 5: Solve for x
    x = 20,071,522,276/64,959
  6. Step 6: Final answer
    x = 308,987.55

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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.