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Finding the Third Proportional to 55,230 and 117,810

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Solution

The third proportional to 55,230 and 117,810 is: 251,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230 : 117,810 = 117,810 : x
  2. Step 2: Convert to fraction form
    55,230/117,810 = 117,810/x
  3. Step 3: Cross multiply
    55,230x = 117,810 × 117,810
  4. Step 4: Simplify right side
    55,230x = 13,879,196,100
  5. Step 5: Solve for x
    x = 13,879,196,100/55,230
  6. Step 6: Final answer
    x = 251,298.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.