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Finding the Third Proportional to 74,599.88 and 152,646.38

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Solution

The third proportional to 74,599.88 and 152,646.38 is: 312,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,599.88 : 152,646.38 = 152,646.38 : x
  2. Step 2: Convert to fraction form
    74,599.88/152,646.38 = 152,646.38/x
  3. Step 3: Cross multiply
    74,599.88x = 152,646.38 × 152,646.38
  4. Step 4: Simplify right side
    74,599.88x = 23,300,915,800.64
  5. Step 5: Solve for x
    x = 23,300,915,800.64/74,599.88
  6. Step 6: Final answer
    x = 312,345.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.