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Finding the Third Proportional to 58,413 and 83,132

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Solution

The third proportional to 58,413 and 83,132 is: 118,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413 : 83,132 = 83,132 : x
  2. Step 2: Convert to fraction form
    58,413/83,132 = 83,132/x
  3. Step 3: Cross multiply
    58,413x = 83,132 × 83,132
  4. Step 4: Simplify right side
    58,413x = 6,910,929,424
  5. Step 5: Solve for x
    x = 6,910,929,424/58,413
  6. Step 6: Final answer
    x = 118,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.