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Finding the Third Proportional to 59,394 and 128,484

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Solution

The third proportional to 59,394 and 128,484 is: 277,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,394 : 128,484 = 128,484 : x
  2. Step 2: Convert to fraction form
    59,394/128,484 = 128,484/x
  3. Step 3: Cross multiply
    59,394x = 128,484 × 128,484
  4. Step 4: Simplify right side
    59,394x = 16,508,138,256
  5. Step 5: Solve for x
    x = 16,508,138,256/59,394
  6. Step 6: Final answer
    x = 277,942.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.