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Finding the Third Proportional to 64,984 and 141,720

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Solution

The third proportional to 64,984 and 141,720 is: 309,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 141,720 = 141,720 : x
  2. Step 2: Convert to fraction form
    64,984/141,720 = 141,720/x
  3. Step 3: Cross multiply
    64,984x = 141,720 × 141,720
  4. Step 4: Simplify right side
    64,984x = 20,084,558,400
  5. Step 5: Solve for x
    x = 20,084,558,400/64,984
  6. Step 6: Final answer
    x = 309,069.28

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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.