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Finding the Third Proportional to 63,548 and 137,556

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Solution

The third proportional to 63,548 and 137,556 is: 297,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,548 : 137,556 = 137,556 : x
  2. Step 2: Convert to fraction form
    63,548/137,556 = 137,556/x
  3. Step 3: Cross multiply
    63,548x = 137,556 × 137,556
  4. Step 4: Simplify right side
    63,548x = 18,921,653,136
  5. Step 5: Solve for x
    x = 18,921,653,136/63,548
  6. Step 6: Final answer
    x = 297,753.72

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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.