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Finding the Third Proportional to 129,063 and 301,627.50

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Solution

The third proportional to 129,063 and 301,627.50 is: 704,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,063 : 301,627.50 = 301,627.50 : x
  2. Step 2: Convert to fraction form
    129,063/301,627.50 = 301,627.50/x
  3. Step 3: Cross multiply
    129,063x = 301,627.50 × 301,627.50
  4. Step 4: Simplify right side
    129,063x = 90,979,148,756.25
  5. Step 5: Solve for x
    x = 90,979,148,756.25/129,063
  6. Step 6: Final answer
    x = 704,920.46

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.