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Finding the Third Proportional to 61,570.13 and 132,556.50

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Solution

The third proportional to 61,570.13 and 132,556.50 is: 285,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,570.13 : 132,556.50 = 132,556.50 : x
  2. Step 2: Convert to fraction form
    61,570.13/132,556.50 = 132,556.50/x
  3. Step 3: Cross multiply
    61,570.13x = 132,556.50 × 132,556.50
  4. Step 4: Simplify right side
    61,570.13x = 17,571,225,692.25
  5. Step 5: Solve for x
    x = 17,571,225,692.25/61,570.13
  6. Step 6: Final answer
    x = 285,385.58

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