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Finding the Third Proportional to 37,347.75 and 78,158.25

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Solution

The third proportional to 37,347.75 and 78,158.25 is: 163,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347.75 : 78,158.25 = 78,158.25 : x
  2. Step 2: Convert to fraction form
    37,347.75/78,158.25 = 78,158.25/x
  3. Step 3: Cross multiply
    37,347.75x = 78,158.25 × 78,158.25
  4. Step 4: Simplify right side
    37,347.75x = 6,108,712,043.06
  5. Step 5: Solve for x
    x = 6,108,712,043.06/37,347.75
  6. Step 6: Final answer
    x = 163,563.05

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.