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Finding the Third Proportional to 114,290.30 and 181,123.17

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Solution

The third proportional to 114,290.30 and 181,123.17 is: 287,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,290.30 : 181,123.17 = 181,123.17 : x
  2. Step 2: Convert to fraction form
    114,290.30/181,123.17 = 181,123.17/x
  3. Step 3: Cross multiply
    114,290.30x = 181,123.17 × 181,123.17
  4. Step 4: Simplify right side
    114,290.30x = 32,805,603,390.06
  5. Step 5: Solve for x
    x = 32,805,603,390.06/114,290.30
  6. Step 6: Final answer
    x = 287,037.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.