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Finding the Third Proportional to 61,357.13 and 133,801.13

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Solution

The third proportional to 61,357.13 and 133,801.13 is: 291,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357.13 : 133,801.13 = 133,801.13 : x
  2. Step 2: Convert to fraction form
    61,357.13/133,801.13 = 133,801.13/x
  3. Step 3: Cross multiply
    61,357.13x = 133,801.13 × 133,801.13
  4. Step 4: Simplify right side
    61,357.13x = 17,902,741,051.27
  5. Step 5: Solve for x
    x = 17,902,741,051.27/61,357.13
  6. Step 6: Final answer
    x = 291,779.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.