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Finding the Third Proportional to 62,970.56 and 133,048.13

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Solution

The third proportional to 62,970.56 and 133,048.13 is: 281,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,970.56 : 133,048.13 = 133,048.13 : x
  2. Step 2: Convert to fraction form
    62,970.56/133,048.13 = 133,048.13/x
  3. Step 3: Cross multiply
    62,970.56x = 133,048.13 × 133,048.13
  4. Step 4: Simplify right side
    62,970.56x = 17,701,803,566.02
  5. Step 5: Solve for x
    x = 17,701,803,566.02/62,970.56
  6. Step 6: Final answer
    x = 281,112.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.