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Finding the Third Proportional to 64,972.50 and 141,042

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Solution

The third proportional to 64,972.50 and 141,042 is: 306,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.50 : 141,042 = 141,042 : x
  2. Step 2: Convert to fraction form
    64,972.50/141,042 = 141,042/x
  3. Step 3: Cross multiply
    64,972.50x = 141,042 × 141,042
  4. Step 4: Simplify right side
    64,972.50x = 19,892,845,764
  5. Step 5: Solve for x
    x = 19,892,845,764/64,972.50
  6. Step 6: Final answer
    x = 306,173.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.