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Finding the Third Proportional to 42,451.50 and 78,805.50

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Solution

The third proportional to 42,451.50 and 78,805.50 is: 146,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451.50 : 78,805.50 = 78,805.50 : x
  2. Step 2: Convert to fraction form
    42,451.50/78,805.50 = 78,805.50/x
  3. Step 3: Cross multiply
    42,451.50x = 78,805.50 × 78,805.50
  4. Step 4: Simplify right side
    42,451.50x = 6,210,306,830.25
  5. Step 5: Solve for x
    x = 6,210,306,830.25/42,451.50
  6. Step 6: Final answer
    x = 146,291.81

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.