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Finding the Third Proportional to 61,548 and 132,511.50

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Solution

The third proportional to 61,548 and 132,511.50 is: 285,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,548 : 132,511.50 = 132,511.50 : x
  2. Step 2: Convert to fraction form
    61,548/132,511.50 = 132,511.50/x
  3. Step 3: Cross multiply
    61,548x = 132,511.50 × 132,511.50
  4. Step 4: Simplify right side
    61,548x = 17,559,297,632.25
  5. Step 5: Solve for x
    x = 17,559,297,632.25/61,548
  6. Step 6: Final answer
    x = 285,294.37

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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.