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Finding the Third Proportional to 61,586.26 and 132,783.36

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Solution

The third proportional to 61,586.26 and 132,783.36 is: 286,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,586.26 : 132,783.36 = 132,783.36 : x
  2. Step 2: Convert to fraction form
    61,586.26/132,783.36 = 132,783.36/x
  3. Step 3: Cross multiply
    61,586.26x = 132,783.36 × 132,783.36
  4. Step 4: Simplify right side
    61,586.26x = 17,631,421,564.28
  5. Step 5: Solve for x
    x = 17,631,421,564.28/61,586.26
  6. Step 6: Final answer
    x = 286,288.23

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