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Finding the Third Proportional to 129,417.75 and 203,056.88

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Solution

The third proportional to 129,417.75 and 203,056.88 is: 318,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,417.75 : 203,056.88 = 203,056.88 : x
  2. Step 2: Convert to fraction form
    129,417.75/203,056.88 = 203,056.88/x
  3. Step 3: Cross multiply
    129,417.75x = 203,056.88 × 203,056.88
  4. Step 4: Simplify right side
    129,417.75x = 41,232,094,484.77
  5. Step 5: Solve for x
    x = 41,232,094,484.77/129,417.75
  6. Step 6: Final answer
    x = 318,596.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.