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Finding the Third Proportional to 94,503 and 152,266.50

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Solution

The third proportional to 94,503 and 152,266.50 is: 245,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,503 : 152,266.50 = 152,266.50 : x
  2. Step 2: Convert to fraction form
    94,503/152,266.50 = 152,266.50/x
  3. Step 3: Cross multiply
    94,503x = 152,266.50 × 152,266.50
  4. Step 4: Simplify right side
    94,503x = 23,185,087,022.25
  5. Step 5: Solve for x
    x = 23,185,087,022.25/94,503
  6. Step 6: Final answer
    x = 245,337.05

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.