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Finding the Third Proportional to 75,358.13 and 116,578.13

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Solution

The third proportional to 75,358.13 and 116,578.13 is: 180,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358.13 : 116,578.13 = 116,578.13 : x
  2. Step 2: Convert to fraction form
    75,358.13/116,578.13 = 116,578.13/x
  3. Step 3: Cross multiply
    75,358.13x = 116,578.13 × 116,578.13
  4. Step 4: Simplify right side
    75,358.13x = 13,590,459,228.52
  5. Step 5: Solve for x
    x = 13,590,459,228.52/75,358.13
  6. Step 6: Final answer
    x = 180,344.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.