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Finding the Third Proportional to 76,475 and 164,024

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Solution

The third proportional to 76,475 and 164,024 is: 351,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475 : 164,024 = 164,024 : x
  2. Step 2: Convert to fraction form
    76,475/164,024 = 164,024/x
  3. Step 3: Cross multiply
    76,475x = 164,024 × 164,024
  4. Step 4: Simplify right side
    76,475x = 26,903,872,576
  5. Step 5: Solve for x
    x = 26,903,872,576/76,475
  6. Step 6: Final answer
    x = 351,799.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.