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Finding the Third Proportional to 129,853 and 173,395.50

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Solution

The third proportional to 129,853 and 173,395.50 is: 231,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853 : 173,395.50 = 173,395.50 : x
  2. Step 2: Convert to fraction form
    129,853/173,395.50 = 173,395.50/x
  3. Step 3: Cross multiply
    129,853x = 173,395.50 × 173,395.50
  4. Step 4: Simplify right side
    129,853x = 30,065,999,420.25
  5. Step 5: Solve for x
    x = 30,065,999,420.25/129,853
  6. Step 6: Final answer
    x = 231,538.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.