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Finding the Third Proportional to 51,484 and 112,810

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Solution

The third proportional to 51,484 and 112,810 is: 247,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,484 : 112,810 = 112,810 : x
  2. Step 2: Convert to fraction form
    51,484/112,810 = 112,810/x
  3. Step 3: Cross multiply
    51,484x = 112,810 × 112,810
  4. Step 4: Simplify right side
    51,484x = 12,726,096,100
  5. Step 5: Solve for x
    x = 12,726,096,100/51,484
  6. Step 6: Final answer
    x = 247,185.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.