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Finding the Third Proportional to 64,820.25 and 139,482

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Solution

The third proportional to 64,820.25 and 139,482 is: 300,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820.25 : 139,482 = 139,482 : x
  2. Step 2: Convert to fraction form
    64,820.25/139,482 = 139,482/x
  3. Step 3: Cross multiply
    64,820.25x = 139,482 × 139,482
  4. Step 4: Simplify right side
    64,820.25x = 19,455,228,324
  5. Step 5: Solve for x
    x = 19,455,228,324/64,820.25
  6. Step 6: Final answer
    x = 300,141.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.