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Finding the Third Proportional to 123,069.38 and 175,987.69

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Solution

The third proportional to 123,069.38 and 175,987.69 is: 251,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,069.38 : 175,987.69 = 175,987.69 : x
  2. Step 2: Convert to fraction form
    123,069.38/175,987.69 = 175,987.69/x
  3. Step 3: Cross multiply
    123,069.38x = 175,987.69 × 175,987.69
  4. Step 4: Simplify right side
    123,069.38x = 30,971,666,151.60
  5. Step 5: Solve for x
    x = 30,971,666,151.60/123,069.38
  6. Step 6: Final answer
    x = 251,660.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.