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Finding the Third Proportional to 61,178.25 and 135,457.50

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Solution

The third proportional to 61,178.25 and 135,457.50 is: 299,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.25 : 135,457.50 = 135,457.50 : x
  2. Step 2: Convert to fraction form
    61,178.25/135,457.50 = 135,457.50/x
  3. Step 3: Cross multiply
    61,178.25x = 135,457.50 × 135,457.50
  4. Step 4: Simplify right side
    61,178.25x = 18,348,734,306.25
  5. Step 5: Solve for x
    x = 18,348,734,306.25/61,178.25
  6. Step 6: Final answer
    x = 299,922.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.