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Finding the Third Proportional to 75,059.16 and 139,044.09

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Solution

The third proportional to 75,059.16 and 139,044.09 is: 257,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,059.16 : 139,044.09 = 139,044.09 : x
  2. Step 2: Convert to fraction form
    75,059.16/139,044.09 = 139,044.09/x
  3. Step 3: Cross multiply
    75,059.16x = 139,044.09 × 139,044.09
  4. Step 4: Simplify right side
    75,059.16x = 19,333,260,006.76
  5. Step 5: Solve for x
    x = 19,333,260,006.76/75,059.16
  6. Step 6: Final answer
    x = 257,573.64

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.