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Finding the Third Proportional to 70,083 and 157,711.50

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Solution

The third proportional to 70,083 and 157,711.50 is: 354,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083 : 157,711.50 = 157,711.50 : x
  2. Step 2: Convert to fraction form
    70,083/157,711.50 = 157,711.50/x
  3. Step 3: Cross multiply
    70,083x = 157,711.50 × 157,711.50
  4. Step 4: Simplify right side
    70,083x = 24,872,917,232.25
  5. Step 5: Solve for x
    x = 24,872,917,232.25/70,083
  6. Step 6: Final answer
    x = 354,906.57

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.