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Finding the Third Proportional to 61,418.25 and 133,953.75

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Solution

The third proportional to 61,418.25 and 133,953.75 is: 292,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,418.25 : 133,953.75 = 133,953.75 : x
  2. Step 2: Convert to fraction form
    61,418.25/133,953.75 = 133,953.75/x
  3. Step 3: Cross multiply
    61,418.25x = 133,953.75 × 133,953.75
  4. Step 4: Simplify right side
    61,418.25x = 17,943,607,139.06
  5. Step 5: Solve for x
    x = 17,943,607,139.06/61,418.25
  6. Step 6: Final answer
    x = 292,154.32

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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.