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Finding the Third Proportional to 75,004 and 163,160

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Solution

The third proportional to 75,004 and 163,160 is: 354,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004 : 163,160 = 163,160 : x
  2. Step 2: Convert to fraction form
    75,004/163,160 = 163,160/x
  3. Step 3: Cross multiply
    75,004x = 163,160 × 163,160
  4. Step 4: Simplify right side
    75,004x = 26,621,185,600
  5. Step 5: Solve for x
    x = 26,621,185,600/75,004
  6. Step 6: Final answer
    x = 354,930.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.