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Finding the Third Proportional to 61,345 and 132,083

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Solution

The third proportional to 61,345 and 132,083 is: 284,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,345 : 132,083 = 132,083 : x
  2. Step 2: Convert to fraction form
    61,345/132,083 = 132,083/x
  3. Step 3: Cross multiply
    61,345x = 132,083 × 132,083
  4. Step 4: Simplify right side
    61,345x = 17,445,918,889
  5. Step 5: Solve for x
    x = 17,445,918,889/61,345
  6. Step 6: Final answer
    x = 284,390.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.