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Finding the Third Proportional to 46,830 and 102,596

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Solution

The third proportional to 46,830 and 102,596 is: 224,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,830 : 102,596 = 102,596 : x
  2. Step 2: Convert to fraction form
    46,830/102,596 = 102,596/x
  3. Step 3: Cross multiply
    46,830x = 102,596 × 102,596
  4. Step 4: Simplify right side
    46,830x = 10,525,939,216
  5. Step 5: Solve for x
    x = 10,525,939,216/46,830
  6. Step 6: Final answer
    x = 224,769.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.