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Finding the Third Proportional to 60,922.50 and 141,024

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Solution

The third proportional to 60,922.50 and 141,024 is: 326,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,922.50 : 141,024 = 141,024 : x
  2. Step 2: Convert to fraction form
    60,922.50/141,024 = 141,024/x
  3. Step 3: Cross multiply
    60,922.50x = 141,024 × 141,024
  4. Step 4: Simplify right side
    60,922.50x = 19,887,768,576
  5. Step 5: Solve for x
    x = 19,887,768,576/60,922.50
  6. Step 6: Final answer
    x = 326,443.74

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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.