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Finding the Third Proportional to 64,984 and 141,712

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Solution

The third proportional to 64,984 and 141,712 is: 309,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 141,712 = 141,712 : x
  2. Step 2: Convert to fraction form
    64,984/141,712 = 141,712/x
  3. Step 3: Cross multiply
    64,984x = 141,712 × 141,712
  4. Step 4: Simplify right side
    64,984x = 20,082,290,944
  5. Step 5: Solve for x
    x = 20,082,290,944/64,984
  6. Step 6: Final answer
    x = 309,034.39

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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.