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Finding the Third Proportional to 129,655.69 and 174,785.34

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Solution

The third proportional to 129,655.69 and 174,785.34 is: 235,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,655.69 : 174,785.34 = 174,785.34 : x
  2. Step 2: Convert to fraction form
    129,655.69/174,785.34 = 174,785.34/x
  3. Step 3: Cross multiply
    129,655.69x = 174,785.34 × 174,785.34
  4. Step 4: Simplify right side
    129,655.69x = 30,549,916,389.81
  5. Step 5: Solve for x
    x = 30,549,916,389.81/129,655.69
  6. Step 6: Final answer
    x = 235,623.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.