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Finding the Third Proportional to 63,564 and 137,583

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Solution

The third proportional to 63,564 and 137,583 is: 297,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 137,583 = 137,583 : x
  2. Step 2: Convert to fraction form
    63,564/137,583 = 137,583/x
  3. Step 3: Cross multiply
    63,564x = 137,583 × 137,583
  4. Step 4: Simplify right side
    63,564x = 18,929,081,889
  5. Step 5: Solve for x
    x = 18,929,081,889/63,564
  6. Step 6: Final answer
    x = 297,795.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.