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Finding the Third Proportional to 64,097.16 and 138,050.16

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Solution

The third proportional to 64,097.16 and 138,050.16 is: 297,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,097.16 : 138,050.16 = 138,050.16 : x
  2. Step 2: Convert to fraction form
    64,097.16/138,050.16 = 138,050.16/x
  3. Step 3: Cross multiply
    64,097.16x = 138,050.16 × 138,050.16
  4. Step 4: Simplify right side
    64,097.16x = 19,057,845,640.65
  5. Step 5: Solve for x
    x = 19,057,845,640.65/64,097.16
  6. Step 6: Final answer
    x = 297,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.