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Finding the Third Proportional to 105,564.52 and 158,485.36

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Solution

The third proportional to 105,564.52 and 158,485.36 is: 237,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,564.52 : 158,485.36 = 158,485.36 : x
  2. Step 2: Convert to fraction form
    105,564.52/158,485.36 = 158,485.36/x
  3. Step 3: Cross multiply
    105,564.52x = 158,485.36 × 158,485.36
  4. Step 4: Simplify right side
    105,564.52x = 25,117,609,136.22
  5. Step 5: Solve for x
    x = 25,117,609,136.22/105,564.52
  6. Step 6: Final answer
    x = 237,936.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.