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Finding the Third Proportional to 65,637 and 143,986.50

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Solution

The third proportional to 65,637 and 143,986.50 is: 315,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,637 : 143,986.50 = 143,986.50 : x
  2. Step 2: Convert to fraction form
    65,637/143,986.50 = 143,986.50/x
  3. Step 3: Cross multiply
    65,637x = 143,986.50 × 143,986.50
  4. Step 4: Simplify right side
    65,637x = 20,732,112,182.25
  5. Step 5: Solve for x
    x = 20,732,112,182.25/65,637
  6. Step 6: Final answer
    x = 315,860.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.