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Finding the Third Proportional to 127,590.19 and 188,475.19

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Solution

The third proportional to 127,590.19 and 188,475.19 is: 278,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,590.19 : 188,475.19 = 188,475.19 : x
  2. Step 2: Convert to fraction form
    127,590.19/188,475.19 = 188,475.19/x
  3. Step 3: Cross multiply
    127,590.19x = 188,475.19 × 188,475.19
  4. Step 4: Simplify right side
    127,590.19x = 35,522,896,303.16
  5. Step 5: Solve for x
    x = 35,522,896,303.16/127,590.19
  6. Step 6: Final answer
    x = 278,414.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.