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Finding the Third Proportional to 72,371 and 157,120.50

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Solution

The third proportional to 72,371 and 157,120.50 is: 341,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,371 : 157,120.50 = 157,120.50 : x
  2. Step 2: Convert to fraction form
    72,371/157,120.50 = 157,120.50/x
  3. Step 3: Cross multiply
    72,371x = 157,120.50 × 157,120.50
  4. Step 4: Simplify right side
    72,371x = 24,686,851,520.25
  5. Step 5: Solve for x
    x = 24,686,851,520.25/72,371
  6. Step 6: Final answer
    x = 341,115.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.