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Finding the Third Proportional to 55,188 and 119,197.50

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Solution

The third proportional to 55,188 and 119,197.50 is: 257,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,188 : 119,197.50 = 119,197.50 : x
  2. Step 2: Convert to fraction form
    55,188/119,197.50 = 119,197.50/x
  3. Step 3: Cross multiply
    55,188x = 119,197.50 × 119,197.50
  4. Step 4: Simplify right side
    55,188x = 14,208,044,006.25
  5. Step 5: Solve for x
    x = 14,208,044,006.25/55,188
  6. Step 6: Final answer
    x = 257,448.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.