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Finding the Third Proportional to 94,593 and 141,069.50

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Solution

The third proportional to 94,593 and 141,069.50 is: 210,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,593 : 141,069.50 = 141,069.50 : x
  2. Step 2: Convert to fraction form
    94,593/141,069.50 = 141,069.50/x
  3. Step 3: Cross multiply
    94,593x = 141,069.50 × 141,069.50
  4. Step 4: Simplify right side
    94,593x = 19,900,603,830.25
  5. Step 5: Solve for x
    x = 19,900,603,830.25/94,593
  6. Step 6: Final answer
    x = 210,381.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.