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Finding the Third Proportional to 127,545.50 and 184,376

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Solution

The third proportional to 127,545.50 and 184,376 is: 266,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,545.50 : 184,376 = 184,376 : x
  2. Step 2: Convert to fraction form
    127,545.50/184,376 = 184,376/x
  3. Step 3: Cross multiply
    127,545.50x = 184,376 × 184,376
  4. Step 4: Simplify right side
    127,545.50x = 33,994,509,376
  5. Step 5: Solve for x
    x = 33,994,509,376/127,545.50
  6. Step 6: Final answer
    x = 266,528.49

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.