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Finding the Third Proportional to 60,645 and 140,125.50

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Solution

The third proportional to 60,645 and 140,125.50 is: 323,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,645 : 140,125.50 = 140,125.50 : x
  2. Step 2: Convert to fraction form
    60,645/140,125.50 = 140,125.50/x
  3. Step 3: Cross multiply
    60,645x = 140,125.50 × 140,125.50
  4. Step 4: Simplify right side
    60,645x = 19,635,155,750.25
  5. Step 5: Solve for x
    x = 19,635,155,750.25/60,645
  6. Step 6: Final answer
    x = 323,772.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.