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Finding the Third Proportional to 101,606.63 and 156,713.63

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Solution

The third proportional to 101,606.63 and 156,713.63 is: 241,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,606.63 : 156,713.63 = 156,713.63 : x
  2. Step 2: Convert to fraction form
    101,606.63/156,713.63 = 156,713.63/x
  3. Step 3: Cross multiply
    101,606.63x = 156,713.63 × 156,713.63
  4. Step 4: Simplify right side
    101,606.63x = 24,559,160,260.64
  5. Step 5: Solve for x
    x = 24,559,160,260.64/101,606.63
  6. Step 6: Final answer
    x = 241,708.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.