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Finding the Third Proportional to 107,962.88 and 158,784.75

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Solution

The third proportional to 107,962.88 and 158,784.75 is: 233,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,962.88 : 158,784.75 = 158,784.75 : x
  2. Step 2: Convert to fraction form
    107,962.88/158,784.75 = 158,784.75/x
  3. Step 3: Cross multiply
    107,962.88x = 158,784.75 × 158,784.75
  4. Step 4: Simplify right side
    107,962.88x = 25,212,596,832.56
  5. Step 5: Solve for x
    x = 25,212,596,832.56/107,962.88
  6. Step 6: Final answer
    x = 233,530.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.