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Finding the Third Proportional to 128,248.59 and 191,654.72

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Solution

The third proportional to 128,248.59 and 191,654.72 is: 286,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,248.59 : 191,654.72 = 191,654.72 : x
  2. Step 2: Convert to fraction form
    128,248.59/191,654.72 = 191,654.72/x
  3. Step 3: Cross multiply
    128,248.59x = 191,654.72 × 191,654.72
  4. Step 4: Simplify right side
    128,248.59x = 36,731,531,219.14
  5. Step 5: Solve for x
    x = 36,731,531,219.14/128,248.59
  6. Step 6: Final answer
    x = 286,408.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.