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Finding the Third Proportional to 75,657 and 179,167.50

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Solution

The third proportional to 75,657 and 179,167.50 is: 424,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657 : 179,167.50 = 179,167.50 : x
  2. Step 2: Convert to fraction form
    75,657/179,167.50 = 179,167.50/x
  3. Step 3: Cross multiply
    75,657x = 179,167.50 × 179,167.50
  4. Step 4: Simplify right side
    75,657x = 32,100,993,056.25
  5. Step 5: Solve for x
    x = 32,100,993,056.25/75,657
  6. Step 6: Final answer
    x = 424,296.40

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.