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Finding the Third Proportional to 75,783.50 and 118,535

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Solution

The third proportional to 75,783.50 and 118,535 is: 185,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783.50 : 118,535 = 118,535 : x
  2. Step 2: Convert to fraction form
    75,783.50/118,535 = 118,535/x
  3. Step 3: Cross multiply
    75,783.50x = 118,535 × 118,535
  4. Step 4: Simplify right side
    75,783.50x = 14,050,546,225
  5. Step 5: Solve for x
    x = 14,050,546,225/75,783.50
  6. Step 6: Final answer
    x = 185,403.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.