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Finding the Third Proportional to 75,836 and 163,300

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Solution

The third proportional to 75,836 and 163,300 is: 351,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,836 : 163,300 = 163,300 : x
  2. Step 2: Convert to fraction form
    75,836/163,300 = 163,300/x
  3. Step 3: Cross multiply
    75,836x = 163,300 × 163,300
  4. Step 4: Simplify right side
    75,836x = 26,666,890,000
  5. Step 5: Solve for x
    x = 26,666,890,000/75,836
  6. Step 6: Final answer
    x = 351,638.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.