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Finding the Third Proportional to 78,762.38 and 119,599.88

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Solution

The third proportional to 78,762.38 and 119,599.88 is: 181,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.38 : 119,599.88 = 119,599.88 : x
  2. Step 2: Convert to fraction form
    78,762.38/119,599.88 = 119,599.88/x
  3. Step 3: Cross multiply
    78,762.38x = 119,599.88 × 119,599.88
  4. Step 4: Simplify right side
    78,762.38x = 14,304,130,100.02
  5. Step 5: Solve for x
    x = 14,304,130,100.02/78,762.38
  6. Step 6: Final answer
    x = 181,611.21

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Why These Related Problems?

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