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Finding the Third Proportional to 77,895 and 114,230.25

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Solution

The third proportional to 77,895 and 114,230.25 is: 167,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,895 : 114,230.25 = 114,230.25 : x
  2. Step 2: Convert to fraction form
    77,895/114,230.25 = 114,230.25/x
  3. Step 3: Cross multiply
    77,895x = 114,230.25 × 114,230.25
  4. Step 4: Simplify right side
    77,895x = 13,048,550,015.06
  5. Step 5: Solve for x
    x = 13,048,550,015.06/77,895
  6. Step 6: Final answer
    x = 167,514.60

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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.