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Finding the Third Proportional to 58,520 and 85,413

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Solution

The third proportional to 58,520 and 85,413 is: 124,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,520 : 85,413 = 85,413 : x
  2. Step 2: Convert to fraction form
    58,520/85,413 = 85,413/x
  3. Step 3: Cross multiply
    58,520x = 85,413 × 85,413
  4. Step 4: Simplify right side
    58,520x = 7,295,380,569
  5. Step 5: Solve for x
    x = 7,295,380,569/58,520
  6. Step 6: Final answer
    x = 124,664.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.