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Finding the Third Proportional to 65,602.50 and 140,538

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Solution

The third proportional to 65,602.50 and 140,538 is: 301,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,602.50 : 140,538 = 140,538 : x
  2. Step 2: Convert to fraction form
    65,602.50/140,538 = 140,538/x
  3. Step 3: Cross multiply
    65,602.50x = 140,538 × 140,538
  4. Step 4: Simplify right side
    65,602.50x = 19,750,929,444
  5. Step 5: Solve for x
    x = 19,750,929,444/65,602.50
  6. Step 6: Final answer
    x = 301,069.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.