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Finding the Third Proportional to 61,470 and 125,196

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Solution

The third proportional to 61,470 and 125,196 is: 254,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,470 : 125,196 = 125,196 : x
  2. Step 2: Convert to fraction form
    61,470/125,196 = 125,196/x
  3. Step 3: Cross multiply
    61,470x = 125,196 × 125,196
  4. Step 4: Simplify right side
    61,470x = 15,674,038,416
  5. Step 5: Solve for x
    x = 15,674,038,416/61,470
  6. Step 6: Final answer
    x = 254,986.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.