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Finding the Third Proportional to 58,374 and 113,831

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Solution

The third proportional to 58,374 and 113,831 is: 221,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,374 : 113,831 = 113,831 : x
  2. Step 2: Convert to fraction form
    58,374/113,831 = 113,831/x
  3. Step 3: Cross multiply
    58,374x = 113,831 × 113,831
  4. Step 4: Simplify right side
    58,374x = 12,957,496,561
  5. Step 5: Solve for x
    x = 12,957,496,561/58,374
  6. Step 6: Final answer
    x = 221,973.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.