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Finding the Third Proportional to 61,308 and 94,722

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Solution

The third proportional to 61,308 and 94,722 is: 146,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,308 : 94,722 = 94,722 : x
  2. Step 2: Convert to fraction form
    61,308/94,722 = 94,722/x
  3. Step 3: Cross multiply
    61,308x = 94,722 × 94,722
  4. Step 4: Simplify right side
    61,308x = 8,972,257,284
  5. Step 5: Solve for x
    x = 8,972,257,284/61,308
  6. Step 6: Final answer
    x = 146,347.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.