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Finding the Third Proportional to 58,848 and 89,632

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Solution

The third proportional to 58,848 and 89,632 is: 136,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,848 : 89,632 = 89,632 : x
  2. Step 2: Convert to fraction form
    58,848/89,632 = 89,632/x
  3. Step 3: Cross multiply
    58,848x = 89,632 × 89,632
  4. Step 4: Simplify right side
    58,848x = 8,033,895,424
  5. Step 5: Solve for x
    x = 8,033,895,424/58,848
  6. Step 6: Final answer
    x = 136,519.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.