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Finding the Third Proportional to 64,316 and 137,861

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Solution

The third proportional to 64,316 and 137,861 is: 295,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,316 : 137,861 = 137,861 : x
  2. Step 2: Convert to fraction form
    64,316/137,861 = 137,861/x
  3. Step 3: Cross multiply
    64,316x = 137,861 × 137,861
  4. Step 4: Simplify right side
    64,316x = 19,005,655,321
  5. Step 5: Solve for x
    x = 19,005,655,321/64,316
  6. Step 6: Final answer
    x = 295,504.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.