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Finding the Third Proportional to 128,426 and 170,407

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Solution

The third proportional to 128,426 and 170,407 is: 226,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,426 : 170,407 = 170,407 : x
  2. Step 2: Convert to fraction form
    128,426/170,407 = 170,407/x
  3. Step 3: Cross multiply
    128,426x = 170,407 × 170,407
  4. Step 4: Simplify right side
    128,426x = 29,038,545,649
  5. Step 5: Solve for x
    x = 29,038,545,649/128,426
  6. Step 6: Final answer
    x = 226,111.11

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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.