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Finding the Third Proportional to 41,128.75 and 89,304.25

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Solution

The third proportional to 41,128.75 and 89,304.25 is: 193,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128.75 : 89,304.25 = 89,304.25 : x
  2. Step 2: Convert to fraction form
    41,128.75/89,304.25 = 89,304.25/x
  3. Step 3: Cross multiply
    41,128.75x = 89,304.25 × 89,304.25
  4. Step 4: Simplify right side
    41,128.75x = 7,975,249,068.06
  5. Step 5: Solve for x
    x = 7,975,249,068.06/41,128.75
  6. Step 6: Final answer
    x = 193,909.35

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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.