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Finding the Third Proportional to 58,908 and 84,132

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Solution

The third proportional to 58,908 and 84,132 is: 120,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,908 : 84,132 = 84,132 : x
  2. Step 2: Convert to fraction form
    58,908/84,132 = 84,132/x
  3. Step 3: Cross multiply
    58,908x = 84,132 × 84,132
  4. Step 4: Simplify right side
    58,908x = 7,078,193,424
  5. Step 5: Solve for x
    x = 7,078,193,424/58,908
  6. Step 6: Final answer
    x = 120,156.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.