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Finding the Third Proportional to 30,068.25 and 65,259.75

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Solution

The third proportional to 30,068.25 and 65,259.75 is: 141,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,068.25 : 65,259.75 = 65,259.75 : x
  2. Step 2: Convert to fraction form
    30,068.25/65,259.75 = 65,259.75/x
  3. Step 3: Cross multiply
    30,068.25x = 65,259.75 × 65,259.75
  4. Step 4: Simplify right side
    30,068.25x = 4,258,834,970.06
  5. Step 5: Solve for x
    x = 4,258,834,970.06/30,068.25
  6. Step 6: Final answer
    x = 141,638.94

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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.