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Finding the Third Proportional to 64,842 and 141,045

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Solution

The third proportional to 64,842 and 141,045 is: 306,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842 : 141,045 = 141,045 : x
  2. Step 2: Convert to fraction form
    64,842/141,045 = 141,045/x
  3. Step 3: Cross multiply
    64,842x = 141,045 × 141,045
  4. Step 4: Simplify right side
    64,842x = 19,893,692,025
  5. Step 5: Solve for x
    x = 19,893,692,025/64,842
  6. Step 6: Final answer
    x = 306,802.57

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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.