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Finding the Third Proportional to 70,107.19 and 105,139.69

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Solution

The third proportional to 70,107.19 and 105,139.69 is: 157,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,107.19 : 105,139.69 = 105,139.69 : x
  2. Step 2: Convert to fraction form
    70,107.19/105,139.69 = 105,139.69/x
  3. Step 3: Cross multiply
    70,107.19x = 105,139.69 × 105,139.69
  4. Step 4: Simplify right side
    70,107.19x = 11,054,353,887.60
  5. Step 5: Solve for x
    x = 11,054,353,887.60/70,107.19
  6. Step 6: Final answer
    x = 157,677.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.