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Finding the Third Proportional to 75,282 and 110,095

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Solution

The third proportional to 75,282 and 110,095 is: 161,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 110,095 = 110,095 : x
  2. Step 2: Convert to fraction form
    75,282/110,095 = 110,095/x
  3. Step 3: Cross multiply
    75,282x = 110,095 × 110,095
  4. Step 4: Simplify right side
    75,282x = 12,120,909,025
  5. Step 5: Solve for x
    x = 12,120,909,025/75,282
  6. Step 6: Final answer
    x = 161,006.74

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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.