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Finding the Third Proportional to 118,437.19 and 153,662.06

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Solution

The third proportional to 118,437.19 and 153,662.06 is: 199,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,437.19 : 153,662.06 = 153,662.06 : x
  2. Step 2: Convert to fraction form
    118,437.19/153,662.06 = 153,662.06/x
  3. Step 3: Cross multiply
    118,437.19x = 153,662.06 × 153,662.06
  4. Step 4: Simplify right side
    118,437.19x = 23,612,029,451.75
  5. Step 5: Solve for x
    x = 23,612,029,451.75/118,437.19
  6. Step 6: Final answer
    x = 199,363.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.