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Finding the Third Proportional to 106,159 and 232,009

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Solution

The third proportional to 106,159 and 232,009 is: 507,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,159 : 232,009 = 232,009 : x
  2. Step 2: Convert to fraction form
    106,159/232,009 = 232,009/x
  3. Step 3: Cross multiply
    106,159x = 232,009 × 232,009
  4. Step 4: Simplify right side
    106,159x = 53,828,176,081
  5. Step 5: Solve for x
    x = 53,828,176,081/106,159
  6. Step 6: Final answer
    x = 507,052.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.