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Finding the Third Proportional to 75,030 and 164,001

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Solution

The third proportional to 75,030 and 164,001 is: 358,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030 : 164,001 = 164,001 : x
  2. Step 2: Convert to fraction form
    75,030/164,001 = 164,001/x
  3. Step 3: Cross multiply
    75,030x = 164,001 × 164,001
  4. Step 4: Simplify right side
    75,030x = 26,896,328,001
  5. Step 5: Solve for x
    x = 26,896,328,001/75,030
  6. Step 6: Final answer
    x = 358,474.32

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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.