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Finding the Third Proportional to 53,931.75 and 113,440.88

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Solution

The third proportional to 53,931.75 and 113,440.88 is: 238,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,931.75 : 113,440.88 = 113,440.88 : x
  2. Step 2: Convert to fraction form
    53,931.75/113,440.88 = 113,440.88/x
  3. Step 3: Cross multiply
    53,931.75x = 113,440.88 × 113,440.88
  4. Step 4: Simplify right side
    53,931.75x = 12,868,832,120.77
  5. Step 5: Solve for x
    x = 12,868,832,120.77/53,931.75
  6. Step 6: Final answer
    x = 238,613.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.