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Finding the Third Proportional to 58,232 and 91,884

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Solution

The third proportional to 58,232 and 91,884 is: 144,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,232 : 91,884 = 91,884 : x
  2. Step 2: Convert to fraction form
    58,232/91,884 = 91,884/x
  3. Step 3: Cross multiply
    58,232x = 91,884 × 91,884
  4. Step 4: Simplify right side
    58,232x = 8,442,669,456
  5. Step 5: Solve for x
    x = 8,442,669,456/58,232
  6. Step 6: Final answer
    x = 144,983.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.