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Finding the Third Proportional to 44,374 and 96,133

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Solution

The third proportional to 44,374 and 96,133 is: 208,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,374 : 96,133 = 96,133 : x
  2. Step 2: Convert to fraction form
    44,374/96,133 = 96,133/x
  3. Step 3: Cross multiply
    44,374x = 96,133 × 96,133
  4. Step 4: Simplify right side
    44,374x = 9,241,553,689
  5. Step 5: Solve for x
    x = 9,241,553,689/44,374
  6. Step 6: Final answer
    x = 208,265.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.