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Finding the Third Proportional to 129,375 and 173,848.50

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Solution

The third proportional to 129,375 and 173,848.50 is: 233,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,375 : 173,848.50 = 173,848.50 : x
  2. Step 2: Convert to fraction form
    129,375/173,848.50 = 173,848.50/x
  3. Step 3: Cross multiply
    129,375x = 173,848.50 × 173,848.50
  4. Step 4: Simplify right side
    129,375x = 30,223,300,952.25
  5. Step 5: Solve for x
    x = 30,223,300,952.25/129,375
  6. Step 6: Final answer
    x = 233,610.06

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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.