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Finding the Third Proportional to 64,473 and 140,154

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Solution

The third proportional to 64,473 and 140,154 is: 304,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,473 : 140,154 = 140,154 : x
  2. Step 2: Convert to fraction form
    64,473/140,154 = 140,154/x
  3. Step 3: Cross multiply
    64,473x = 140,154 × 140,154
  4. Step 4: Simplify right side
    64,473x = 19,643,143,716
  5. Step 5: Solve for x
    x = 19,643,143,716/64,473
  6. Step 6: Final answer
    x = 304,672.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.