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Finding the Third Proportional to 61,409.50 and 127,435

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Solution

The third proportional to 61,409.50 and 127,435 is: 264,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409.50 : 127,435 = 127,435 : x
  2. Step 2: Convert to fraction form
    61,409.50/127,435 = 127,435/x
  3. Step 3: Cross multiply
    61,409.50x = 127,435 × 127,435
  4. Step 4: Simplify right side
    61,409.50x = 16,239,679,225
  5. Step 5: Solve for x
    x = 16,239,679,225/61,409.50
  6. Step 6: Final answer
    x = 264,448.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.