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Finding the Third Proportional to 116,636.63 and 158,266.13

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Solution

The third proportional to 116,636.63 and 158,266.13 is: 214,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,636.63 : 158,266.13 = 158,266.13 : x
  2. Step 2: Convert to fraction form
    116,636.63/158,266.13 = 158,266.13/x
  3. Step 3: Cross multiply
    116,636.63x = 158,266.13 × 158,266.13
  4. Step 4: Simplify right side
    116,636.63x = 25,048,166,322.52
  5. Step 5: Solve for x
    x = 25,048,166,322.52/116,636.63
  6. Step 6: Final answer
    x = 214,753.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.