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Finding the Third Proportional to 128,070 and 205,774

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Solution

The third proportional to 128,070 and 205,774 is: 330,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,070 : 205,774 = 205,774 : x
  2. Step 2: Convert to fraction form
    128,070/205,774 = 205,774/x
  3. Step 3: Cross multiply
    128,070x = 205,774 × 205,774
  4. Step 4: Simplify right side
    128,070x = 42,342,939,076
  5. Step 5: Solve for x
    x = 42,342,939,076/128,070
  6. Step 6: Final answer
    x = 330,623.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.