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Finding the Third Proportional to 94,518 and 143,748

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Solution

The third proportional to 94,518 and 143,748 is: 218,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,518 : 143,748 = 143,748 : x
  2. Step 2: Convert to fraction form
    94,518/143,748 = 143,748/x
  3. Step 3: Cross multiply
    94,518x = 143,748 × 143,748
  4. Step 4: Simplify right side
    94,518x = 20,663,487,504
  5. Step 5: Solve for x
    x = 20,663,487,504/94,518
  6. Step 6: Final answer
    x = 218,619.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.