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Finding the Third Proportional to 107,349 and 130,129.50

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Solution

The third proportional to 107,349 and 130,129.50 is: 157,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,349 : 130,129.50 = 130,129.50 : x
  2. Step 2: Convert to fraction form
    107,349/130,129.50 = 130,129.50/x
  3. Step 3: Cross multiply
    107,349x = 130,129.50 × 130,129.50
  4. Step 4: Simplify right side
    107,349x = 16,933,686,770.25
  5. Step 5: Solve for x
    x = 16,933,686,770.25/107,349
  6. Step 6: Final answer
    x = 157,744.24

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.