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Finding the Third Proportional to 59,659 and 128,461

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Solution

The third proportional to 59,659 and 128,461 is: 276,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,659 : 128,461 = 128,461 : x
  2. Step 2: Convert to fraction form
    59,659/128,461 = 128,461/x
  3. Step 3: Cross multiply
    59,659x = 128,461 × 128,461
  4. Step 4: Simplify right side
    59,659x = 16,502,228,521
  5. Step 5: Solve for x
    x = 16,502,228,521/59,659
  6. Step 6: Final answer
    x = 276,609.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.