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Finding the Third Proportional to 64,314 and 138,348

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Solution

The third proportional to 64,314 and 138,348 is: 297,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314 : 138,348 = 138,348 : x
  2. Step 2: Convert to fraction form
    64,314/138,348 = 138,348/x
  3. Step 3: Cross multiply
    64,314x = 138,348 × 138,348
  4. Step 4: Simplify right side
    64,314x = 19,140,169,104
  5. Step 5: Solve for x
    x = 19,140,169,104/64,314
  6. Step 6: Final answer
    x = 297,605.02

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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.