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Finding the Third Proportional to 61,451.63 and 84,100.69

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Solution

The third proportional to 61,451.63 and 84,100.69 is: 115,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,451.63 : 84,100.69 = 84,100.69 : x
  2. Step 2: Convert to fraction form
    61,451.63/84,100.69 = 84,100.69/x
  3. Step 3: Cross multiply
    61,451.63x = 84,100.69 × 84,100.69
  4. Step 4: Simplify right side
    61,451.63x = 7,072,925,637.97
  5. Step 5: Solve for x
    x = 7,072,925,637.97/61,451.63
  6. Step 6: Final answer
    x = 115,097.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.