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Finding the Third Proportional to 128,421 and 170,445

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Solution

The third proportional to 128,421 and 170,445 is: 226,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,421 : 170,445 = 170,445 : x
  2. Step 2: Convert to fraction form
    128,421/170,445 = 170,445/x
  3. Step 3: Cross multiply
    128,421x = 170,445 × 170,445
  4. Step 4: Simplify right side
    128,421x = 29,051,498,025
  5. Step 5: Solve for x
    x = 29,051,498,025/128,421
  6. Step 6: Final answer
    x = 226,220.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.