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Finding the Third Proportional to 118,435.50 and 153,657

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Solution

The third proportional to 118,435.50 and 153,657 is: 199,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,435.50 : 153,657 = 153,657 : x
  2. Step 2: Convert to fraction form
    118,435.50/153,657 = 153,657/x
  3. Step 3: Cross multiply
    118,435.50x = 153,657 × 153,657
  4. Step 4: Simplify right side
    118,435.50x = 23,610,473,649
  5. Step 5: Solve for x
    x = 23,610,473,649/118,435.50
  6. Step 6: Final answer
    x = 199,353.01

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.