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Finding the Third Proportional to 105,412.88 and 167,654.25

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Solution

The third proportional to 105,412.88 and 167,654.25 is: 266,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.88 : 167,654.25 = 167,654.25 : x
  2. Step 2: Convert to fraction form
    105,412.88/167,654.25 = 167,654.25/x
  3. Step 3: Cross multiply
    105,412.88x = 167,654.25 × 167,654.25
  4. Step 4: Simplify right side
    105,412.88x = 28,107,947,543.06
  5. Step 5: Solve for x
    x = 28,107,947,543.06/105,412.88
  6. Step 6: Final answer
    x = 266,646.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.