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Finding the Third Proportional to 130,681 and 184,032

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Solution

The third proportional to 130,681 and 184,032 is: 259,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,681 : 184,032 = 184,032 : x
  2. Step 2: Convert to fraction form
    130,681/184,032 = 184,032/x
  3. Step 3: Cross multiply
    130,681x = 184,032 × 184,032
  4. Step 4: Simplify right side
    130,681x = 33,867,777,024
  5. Step 5: Solve for x
    x = 33,867,777,024/130,681
  6. Step 6: Final answer
    x = 259,163.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.