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Finding the Third Proportional to 73,805 and 117,495

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Solution

The third proportional to 73,805 and 117,495 is: 187,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,805 : 117,495 = 117,495 : x
  2. Step 2: Convert to fraction form
    73,805/117,495 = 117,495/x
  3. Step 3: Cross multiply
    73,805x = 117,495 × 117,495
  4. Step 4: Simplify right side
    73,805x = 13,805,075,025
  5. Step 5: Solve for x
    x = 13,805,075,025/73,805
  6. Step 6: Final answer
    x = 187,047.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.