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Finding the Third Proportional to 55,885.50 and 121,297.50

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Solution

The third proportional to 55,885.50 and 121,297.50 is: 263,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,885.50 : 121,297.50 = 121,297.50 : x
  2. Step 2: Convert to fraction form
    55,885.50/121,297.50 = 121,297.50/x
  3. Step 3: Cross multiply
    55,885.50x = 121,297.50 × 121,297.50
  4. Step 4: Simplify right side
    55,885.50x = 14,713,083,506.25
  5. Step 5: Solve for x
    x = 14,713,083,506.25/55,885.50
  6. Step 6: Final answer
    x = 263,271.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.