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Finding the Third Proportional to 78,763.50 and 119,601.50

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Solution

The third proportional to 78,763.50 and 119,601.50 is: 181,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763.50 : 119,601.50 = 119,601.50 : x
  2. Step 2: Convert to fraction form
    78,763.50/119,601.50 = 119,601.50/x
  3. Step 3: Cross multiply
    78,763.50x = 119,601.50 × 119,601.50
  4. Step 4: Simplify right side
    78,763.50x = 14,304,518,802.25
  5. Step 5: Solve for x
    x = 14,304,518,802.25/78,763.50
  6. Step 6: Final answer
    x = 181,613.55

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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.