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Finding the Third Proportional to 58,770 and 88,698

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Solution

The third proportional to 58,770 and 88,698 is: 133,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,770 : 88,698 = 88,698 : x
  2. Step 2: Convert to fraction form
    58,770/88,698 = 88,698/x
  3. Step 3: Cross multiply
    58,770x = 88,698 × 88,698
  4. Step 4: Simplify right side
    58,770x = 7,867,335,204
  5. Step 5: Solve for x
    x = 7,867,335,204/58,770
  6. Step 6: Final answer
    x = 133,866.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.