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Finding the Third Proportional to 63,588 and 137,304

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Solution

The third proportional to 63,588 and 137,304 is: 296,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,588 : 137,304 = 137,304 : x
  2. Step 2: Convert to fraction form
    63,588/137,304 = 137,304/x
  3. Step 3: Cross multiply
    63,588x = 137,304 × 137,304
  4. Step 4: Simplify right side
    63,588x = 18,852,388,416
  5. Step 5: Solve for x
    x = 18,852,388,416/63,588
  6. Step 6: Final answer
    x = 296,477.14

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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.