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Finding the Third Proportional to 76,602 and 167,428

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Solution

The third proportional to 76,602 and 167,428 is: 365,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602 : 167,428 = 167,428 : x
  2. Step 2: Convert to fraction form
    76,602/167,428 = 167,428/x
  3. Step 3: Cross multiply
    76,602x = 167,428 × 167,428
  4. Step 4: Simplify right side
    76,602x = 28,032,135,184
  5. Step 5: Solve for x
    x = 28,032,135,184/76,602
  6. Step 6: Final answer
    x = 365,945.21

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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.