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Finding the Third Proportional to 64,000.13 and 132,085.69

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Solution

The third proportional to 64,000.13 and 132,085.69 is: 272,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.13 : 132,085.69 = 132,085.69 : x
  2. Step 2: Convert to fraction form
    64,000.13/132,085.69 = 132,085.69/x
  3. Step 3: Cross multiply
    64,000.13x = 132,085.69 × 132,085.69
  4. Step 4: Simplify right side
    64,000.13x = 17,446,628,842.35
  5. Step 5: Solve for x
    x = 17,446,628,842.35/64,000.13
  6. Step 6: Final answer
    x = 272,603.04

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.