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Finding the Third Proportional to 61,536.75 and 134,463.50

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Solution

The third proportional to 61,536.75 and 134,463.50 is: 293,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536.75 : 134,463.50 = 134,463.50 : x
  2. Step 2: Convert to fraction form
    61,536.75/134,463.50 = 134,463.50/x
  3. Step 3: Cross multiply
    61,536.75x = 134,463.50 × 134,463.50
  4. Step 4: Simplify right side
    61,536.75x = 18,080,432,832.25
  5. Step 5: Solve for x
    x = 18,080,432,832.25/61,536.75
  6. Step 6: Final answer
    x = 293,815.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.