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Finding the Third Proportional to 75,273 and 110,083

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Solution

The third proportional to 75,273 and 110,083 is: 160,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,273 : 110,083 = 110,083 : x
  2. Step 2: Convert to fraction form
    75,273/110,083 = 110,083/x
  3. Step 3: Cross multiply
    75,273x = 110,083 × 110,083
  4. Step 4: Simplify right side
    75,273x = 12,118,266,889
  5. Step 5: Solve for x
    x = 12,118,266,889/75,273
  6. Step 6: Final answer
    x = 160,990.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.