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Finding the Third Proportional to 67,257 and 147,575.25

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Solution

The third proportional to 67,257 and 147,575.25 is: 323,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257 : 147,575.25 = 147,575.25 : x
  2. Step 2: Convert to fraction form
    67,257/147,575.25 = 147,575.25/x
  3. Step 3: Cross multiply
    67,257x = 147,575.25 × 147,575.25
  4. Step 4: Simplify right side
    67,257x = 21,778,454,412.56
  5. Step 5: Solve for x
    x = 21,778,454,412.56/67,257
  6. Step 6: Final answer
    x = 323,809.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.