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Finding the Third Proportional to 62,370 and 133,670.25

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Solution

The third proportional to 62,370 and 133,670.25 is: 286,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,370 : 133,670.25 = 133,670.25 : x
  2. Step 2: Convert to fraction form
    62,370/133,670.25 = 133,670.25/x
  3. Step 3: Cross multiply
    62,370x = 133,670.25 × 133,670.25
  4. Step 4: Simplify right side
    62,370x = 17,867,735,735.06
  5. Step 5: Solve for x
    x = 17,867,735,735.06/62,370
  6. Step 6: Final answer
    x = 286,479.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.