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Finding the Third Proportional to 114,156.50 and 181,805.50

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Solution

The third proportional to 114,156.50 and 181,805.50 is: 289,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,156.50 : 181,805.50 = 181,805.50 : x
  2. Step 2: Convert to fraction form
    114,156.50/181,805.50 = 181,805.50/x
  3. Step 3: Cross multiply
    114,156.50x = 181,805.50 × 181,805.50
  4. Step 4: Simplify right side
    114,156.50x = 33,053,239,830.25
  5. Step 5: Solve for x
    x = 33,053,239,830.25/114,156.50
  6. Step 6: Final answer
    x = 289,543.21

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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.