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Finding the Third Proportional to 70,481 and 101,305.50

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Solution

The third proportional to 70,481 and 101,305.50 is: 145,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,481 : 101,305.50 = 101,305.50 : x
  2. Step 2: Convert to fraction form
    70,481/101,305.50 = 101,305.50/x
  3. Step 3: Cross multiply
    70,481x = 101,305.50 × 101,305.50
  4. Step 4: Simplify right side
    70,481x = 10,262,804,330.25
  5. Step 5: Solve for x
    x = 10,262,804,330.25/70,481
  6. Step 6: Final answer
    x = 145,610.94

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