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Finding the Third Proportional to 58,017.75 and 123,052.50

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Solution

The third proportional to 58,017.75 and 123,052.50 is: 260,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,017.75 : 123,052.50 = 123,052.50 : x
  2. Step 2: Convert to fraction form
    58,017.75/123,052.50 = 123,052.50/x
  3. Step 3: Cross multiply
    58,017.75x = 123,052.50 × 123,052.50
  4. Step 4: Simplify right side
    58,017.75x = 15,141,917,756.25
  5. Step 5: Solve for x
    x = 15,141,917,756.25/58,017.75
  6. Step 6: Final answer
    x = 260,987.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.