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Finding the Third Proportional to 127,011.50 and 284,095

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Solution

The third proportional to 127,011.50 and 284,095 is: 635,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,011.50 : 284,095 = 284,095 : x
  2. Step 2: Convert to fraction form
    127,011.50/284,095 = 284,095/x
  3. Step 3: Cross multiply
    127,011.50x = 284,095 × 284,095
  4. Step 4: Simplify right side
    127,011.50x = 80,709,969,025
  5. Step 5: Solve for x
    x = 80,709,969,025/127,011.50
  6. Step 6: Final answer
    x = 635,454.03

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.