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Finding the Third Proportional to 58,788 and 89,412.75

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Solution

The third proportional to 58,788 and 89,412.75 is: 135,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,788 : 89,412.75 = 89,412.75 : x
  2. Step 2: Convert to fraction form
    58,788/89,412.75 = 89,412.75/x
  3. Step 3: Cross multiply
    58,788x = 89,412.75 × 89,412.75
  4. Step 4: Simplify right side
    58,788x = 7,994,639,862.56
  5. Step 5: Solve for x
    x = 7,994,639,862.56/58,788
  6. Step 6: Final answer
    x = 135,991.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.