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Finding the Third Proportional to 95,430 and 139,855

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Solution

The third proportional to 95,430 and 139,855 is: 204,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,430 : 139,855 = 139,855 : x
  2. Step 2: Convert to fraction form
    95,430/139,855 = 139,855/x
  3. Step 3: Cross multiply
    95,430x = 139,855 × 139,855
  4. Step 4: Simplify right side
    95,430x = 19,559,421,025
  5. Step 5: Solve for x
    x = 19,559,421,025/95,430
  6. Step 6: Final answer
    x = 204,960.92

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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.