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Finding the Third Proportional to 59,276 and 83,370

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Solution

The third proportional to 59,276 and 83,370 is: 117,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,276 : 83,370 = 83,370 : x
  2. Step 2: Convert to fraction form
    59,276/83,370 = 83,370/x
  3. Step 3: Cross multiply
    59,276x = 83,370 × 83,370
  4. Step 4: Simplify right side
    59,276x = 6,950,556,900
  5. Step 5: Solve for x
    x = 6,950,556,900/59,276
  6. Step 6: Final answer
    x = 117,257.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.