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Finding the Third Proportional to 62,270 and 94,052

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Solution

The third proportional to 62,270 and 94,052 is: 142,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,270 : 94,052 = 94,052 : x
  2. Step 2: Convert to fraction form
    62,270/94,052 = 94,052/x
  3. Step 3: Cross multiply
    62,270x = 94,052 × 94,052
  4. Step 4: Simplify right side
    62,270x = 8,845,778,704
  5. Step 5: Solve for x
    x = 8,845,778,704/62,270
  6. Step 6: Final answer
    x = 142,055.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.