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Finding the Third Proportional to 83,535 and 120,693.75

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Solution

The third proportional to 83,535 and 120,693.75 is: 174,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,535 : 120,693.75 = 120,693.75 : x
  2. Step 2: Convert to fraction form
    83,535/120,693.75 = 120,693.75/x
  3. Step 3: Cross multiply
    83,535x = 120,693.75 × 120,693.75
  4. Step 4: Simplify right side
    83,535x = 14,566,981,289.06
  5. Step 5: Solve for x
    x = 14,566,981,289.06/83,535
  6. Step 6: Final answer
    x = 174,381.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.