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Finding the Third Proportional to 128,854 and 185,592

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Solution

The third proportional to 128,854 and 185,592 is: 267,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,854 : 185,592 = 185,592 : x
  2. Step 2: Convert to fraction form
    128,854/185,592 = 185,592/x
  3. Step 3: Cross multiply
    128,854x = 185,592 × 185,592
  4. Step 4: Simplify right side
    128,854x = 34,444,390,464
  5. Step 5: Solve for x
    x = 34,444,390,464/128,854
  6. Step 6: Final answer
    x = 267,313.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.