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Finding the Third Proportional to 58,857 and 89,645.50

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Solution

The third proportional to 58,857 and 89,645.50 is: 136,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,857 : 89,645.50 = 89,645.50 : x
  2. Step 2: Convert to fraction form
    58,857/89,645.50 = 89,645.50/x
  3. Step 3: Cross multiply
    58,857x = 89,645.50 × 89,645.50
  4. Step 4: Simplify right side
    58,857x = 8,036,315,670.25
  5. Step 5: Solve for x
    x = 8,036,315,670.25/58,857
  6. Step 6: Final answer
    x = 136,539.68

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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.