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Finding the Third Proportional to 65,039.63 and 141,986.25

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Solution

The third proportional to 65,039.63 and 141,986.25 is: 309,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,039.63 : 141,986.25 = 141,986.25 : x
  2. Step 2: Convert to fraction form
    65,039.63/141,986.25 = 141,986.25/x
  3. Step 3: Cross multiply
    65,039.63x = 141,986.25 × 141,986.25
  4. Step 4: Simplify right side
    65,039.63x = 20,160,095,189.06
  5. Step 5: Solve for x
    x = 20,160,095,189.06/65,039.63
  6. Step 6: Final answer
    x = 309,966.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.