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Finding the Third Proportional to 76,483 and 168,090

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Solution

The third proportional to 76,483 and 168,090 is: 369,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,483 : 168,090 = 168,090 : x
  2. Step 2: Convert to fraction form
    76,483/168,090 = 168,090/x
  3. Step 3: Cross multiply
    76,483x = 168,090 × 168,090
  4. Step 4: Simplify right side
    76,483x = 28,254,248,100
  5. Step 5: Solve for x
    x = 28,254,248,100/76,483
  6. Step 6: Final answer
    x = 369,418.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.