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Finding the Third Proportional to 75,984.75 and 117,136.13

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Solution

The third proportional to 75,984.75 and 117,136.13 is: 180,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,984.75 : 117,136.13 = 117,136.13 : x
  2. Step 2: Convert to fraction form
    75,984.75/117,136.13 = 117,136.13/x
  3. Step 3: Cross multiply
    75,984.75x = 117,136.13 × 117,136.13
  4. Step 4: Simplify right side
    75,984.75x = 13,720,871,780.02
  5. Step 5: Solve for x
    x = 13,720,871,780.02/75,984.75
  6. Step 6: Final answer
    x = 180,574.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.