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Finding the Third Proportional to 58,063 and 89,736

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Solution

The third proportional to 58,063 and 89,736 is: 138,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,063 : 89,736 = 89,736 : x
  2. Step 2: Convert to fraction form
    58,063/89,736 = 89,736/x
  3. Step 3: Cross multiply
    58,063x = 89,736 × 89,736
  4. Step 4: Simplify right side
    58,063x = 8,052,549,696
  5. Step 5: Solve for x
    x = 8,052,549,696/58,063
  6. Step 6: Final answer
    x = 138,686.42

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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.