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Finding the Third Proportional to 55,357.50 and 118,776

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Solution

The third proportional to 55,357.50 and 118,776 is: 254,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,357.50 : 118,776 = 118,776 : x
  2. Step 2: Convert to fraction form
    55,357.50/118,776 = 118,776/x
  3. Step 3: Cross multiply
    55,357.50x = 118,776 × 118,776
  4. Step 4: Simplify right side
    55,357.50x = 14,107,738,176
  5. Step 5: Solve for x
    x = 14,107,738,176/55,357.50
  6. Step 6: Final answer
    x = 254,847.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.