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Finding the Third Proportional to 58,770 and 89,883

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Solution

The third proportional to 58,770 and 89,883 is: 137,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,770 : 89,883 = 89,883 : x
  2. Step 2: Convert to fraction form
    58,770/89,883 = 89,883/x
  3. Step 3: Cross multiply
    58,770x = 89,883 × 89,883
  4. Step 4: Simplify right side
    58,770x = 8,078,953,689
  5. Step 5: Solve for x
    x = 8,078,953,689/58,770
  6. Step 6: Final answer
    x = 137,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.