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Finding the Third Proportional to 58,050 and 89,694

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Solution

The third proportional to 58,050 and 89,694 is: 138,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,050 : 89,694 = 89,694 : x
  2. Step 2: Convert to fraction form
    58,050/89,694 = 89,694/x
  3. Step 3: Cross multiply
    58,050x = 89,694 × 89,694
  4. Step 4: Simplify right side
    58,050x = 8,045,013,636
  5. Step 5: Solve for x
    x = 8,045,013,636/58,050
  6. Step 6: Final answer
    x = 138,587.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.