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Finding the Third Proportional to 61,269 and 128,770

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Solution

The third proportional to 61,269 and 128,770 is: 270,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,269 : 128,770 = 128,770 : x
  2. Step 2: Convert to fraction form
    61,269/128,770 = 128,770/x
  3. Step 3: Cross multiply
    61,269x = 128,770 × 128,770
  4. Step 4: Simplify right side
    61,269x = 16,581,712,900
  5. Step 5: Solve for x
    x = 16,581,712,900/61,269
  6. Step 6: Final answer
    x = 270,637.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.