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Finding the Third Proportional to 60,921 and 141,023.50

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Solution

The third proportional to 60,921 and 141,023.50 is: 326,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,921 : 141,023.50 = 141,023.50 : x
  2. Step 2: Convert to fraction form
    60,921/141,023.50 = 141,023.50/x
  3. Step 3: Cross multiply
    60,921x = 141,023.50 × 141,023.50
  4. Step 4: Simplify right side
    60,921x = 19,887,627,552.25
  5. Step 5: Solve for x
    x = 19,887,627,552.25/60,921
  6. Step 6: Final answer
    x = 326,449.46

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.