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Finding the Third Proportional to 30,139.59 and 65,353.71

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Solution

The third proportional to 30,139.59 and 65,353.71 is: 141,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,139.59 : 65,353.71 = 65,353.71 : x
  2. Step 2: Convert to fraction form
    30,139.59/65,353.71 = 65,353.71/x
  3. Step 3: Cross multiply
    30,139.59x = 65,353.71 × 65,353.71
  4. Step 4: Simplify right side
    30,139.59x = 4,271,107,533.30
  5. Step 5: Solve for x
    x = 4,271,107,533.30/30,139.59
  6. Step 6: Final answer
    x = 141,710.85

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