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Finding the Third Proportional to 61,122.09 and 125,038.69

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Solution

The third proportional to 61,122.09 and 125,038.69 is: 255,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,122.09 : 125,038.69 = 125,038.69 : x
  2. Step 2: Convert to fraction form
    61,122.09/125,038.69 = 125,038.69/x
  3. Step 3: Cross multiply
    61,122.09x = 125,038.69 × 125,038.69
  4. Step 4: Simplify right side
    61,122.09x = 15,634,673,371.72
  5. Step 5: Solve for x
    x = 15,634,673,371.72/61,122.09
  6. Step 6: Final answer
    x = 255,794.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.