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Finding the Third Proportional to 61,634.25 and 133,089.75

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Solution

The third proportional to 61,634.25 and 133,089.75 is: 287,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634.25 : 133,089.75 = 133,089.75 : x
  2. Step 2: Convert to fraction form
    61,634.25/133,089.75 = 133,089.75/x
  3. Step 3: Cross multiply
    61,634.25x = 133,089.75 × 133,089.75
  4. Step 4: Simplify right side
    61,634.25x = 17,712,881,555.06
  5. Step 5: Solve for x
    x = 17,712,881,555.06/61,634.25
  6. Step 6: Final answer
    x = 287,386.99

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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.