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Finding the Third Proportional to 61,445 and 132,610

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Solution

The third proportional to 61,445 and 132,610 is: 286,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,445 : 132,610 = 132,610 : x
  2. Step 2: Convert to fraction form
    61,445/132,610 = 132,610/x
  3. Step 3: Cross multiply
    61,445x = 132,610 × 132,610
  4. Step 4: Simplify right side
    61,445x = 17,585,412,100
  5. Step 5: Solve for x
    x = 17,585,412,100/61,445
  6. Step 6: Final answer
    x = 286,197.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.