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Finding the Third Proportional to 58,842 and 90,029.25

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Solution

The third proportional to 58,842 and 90,029.25 is: 137,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842 : 90,029.25 = 90,029.25 : x
  2. Step 2: Convert to fraction form
    58,842/90,029.25 = 90,029.25/x
  3. Step 3: Cross multiply
    58,842x = 90,029.25 × 90,029.25
  4. Step 4: Simplify right side
    58,842x = 8,105,265,855.56
  5. Step 5: Solve for x
    x = 8,105,265,855.56/58,842
  6. Step 6: Final answer
    x = 137,746.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.