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Finding the Third Proportional to 60,924.50 and 141,029

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Solution

The third proportional to 60,924.50 and 141,029 is: 326,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,924.50 : 141,029 = 141,029 : x
  2. Step 2: Convert to fraction form
    60,924.50/141,029 = 141,029/x
  3. Step 3: Cross multiply
    60,924.50x = 141,029 × 141,029
  4. Step 4: Simplify right side
    60,924.50x = 19,889,178,841
  5. Step 5: Solve for x
    x = 19,889,178,841/60,924.50
  6. Step 6: Final answer
    x = 326,456.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.