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Finding the Third Proportional to 95,386 and 140,152

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Solution

The third proportional to 95,386 and 140,152 is: 205,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,386 : 140,152 = 140,152 : x
  2. Step 2: Convert to fraction form
    95,386/140,152 = 140,152/x
  3. Step 3: Cross multiply
    95,386x = 140,152 × 140,152
  4. Step 4: Simplify right side
    95,386x = 19,642,583,104
  5. Step 5: Solve for x
    x = 19,642,583,104/95,386
  6. Step 6: Final answer
    x = 205,927.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.