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Finding the Third Proportional to 117,562.50 and 176,068.50

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Solution

The third proportional to 117,562.50 and 176,068.50 is: 263,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,562.50 : 176,068.50 = 176,068.50 : x
  2. Step 2: Convert to fraction form
    117,562.50/176,068.50 = 176,068.50/x
  3. Step 3: Cross multiply
    117,562.50x = 176,068.50 × 176,068.50
  4. Step 4: Simplify right side
    117,562.50x = 31,000,116,692.25
  5. Step 5: Solve for x
    x = 31,000,116,692.25/117,562.50
  6. Step 6: Final answer
    x = 263,690.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.