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Finding the Third Proportional to 61,553 and 145,223

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Solution

The third proportional to 61,553 and 145,223 is: 342,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,553 : 145,223 = 145,223 : x
  2. Step 2: Convert to fraction form
    61,553/145,223 = 145,223/x
  3. Step 3: Cross multiply
    61,553x = 145,223 × 145,223
  4. Step 4: Simplify right side
    61,553x = 21,089,719,729
  5. Step 5: Solve for x
    x = 21,089,719,729/61,553
  6. Step 6: Final answer
    x = 342,627.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.