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Finding the Third Proportional to 53,014.50 and 112,164.75

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Solution

The third proportional to 53,014.50 and 112,164.75 is: 237,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014.50 : 112,164.75 = 112,164.75 : x
  2. Step 2: Convert to fraction form
    53,014.50/112,164.75 = 112,164.75/x
  3. Step 3: Cross multiply
    53,014.50x = 112,164.75 × 112,164.75
  4. Step 4: Simplify right side
    53,014.50x = 12,580,931,142.56
  5. Step 5: Solve for x
    x = 12,580,931,142.56/53,014.50
  6. Step 6: Final answer
    x = 237,311.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.