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Finding the Third Proportional to 63,460.69 and 138,304.69

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Solution

The third proportional to 63,460.69 and 138,304.69 is: 301,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,460.69 : 138,304.69 = 138,304.69 : x
  2. Step 2: Convert to fraction form
    63,460.69/138,304.69 = 138,304.69/x
  3. Step 3: Cross multiply
    63,460.69x = 138,304.69 × 138,304.69
  4. Step 4: Simplify right side
    63,460.69x = 19,128,186,584.47
  5. Step 5: Solve for x
    x = 19,128,186,584.47/63,460.69
  6. Step 6: Final answer
    x = 301,417.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.