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Finding the Third Proportional to 62,070 and 94,941

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Solution

The third proportional to 62,070 and 94,941 is: 145,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,070 : 94,941 = 94,941 : x
  2. Step 2: Convert to fraction form
    62,070/94,941 = 94,941/x
  3. Step 3: Cross multiply
    62,070x = 94,941 × 94,941
  4. Step 4: Simplify right side
    62,070x = 9,013,793,481
  5. Step 5: Solve for x
    x = 9,013,793,481/62,070
  6. Step 6: Final answer
    x = 145,219.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.