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Finding the Third Proportional to 64,515 and 142,854

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Solution

The third proportional to 64,515 and 142,854 is: 316,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,515 : 142,854 = 142,854 : x
  2. Step 2: Convert to fraction form
    64,515/142,854 = 142,854/x
  3. Step 3: Cross multiply
    64,515x = 142,854 × 142,854
  4. Step 4: Simplify right side
    64,515x = 20,407,265,316
  5. Step 5: Solve for x
    x = 20,407,265,316/64,515
  6. Step 6: Final answer
    x = 316,318.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.