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Finding the Third Proportional to 52,457.50 and 79,125

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Solution

The third proportional to 52,457.50 and 79,125 is: 119,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.50 : 79,125 = 79,125 : x
  2. Step 2: Convert to fraction form
    52,457.50/79,125 = 79,125/x
  3. Step 3: Cross multiply
    52,457.50x = 79,125 × 79,125
  4. Step 4: Simplify right side
    52,457.50x = 6,260,765,625
  5. Step 5: Solve for x
    x = 6,260,765,625/52,457.50
  6. Step 6: Final answer
    x = 119,349.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.