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Finding the Third Proportional to 63,780 and 138,618

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Solution

The third proportional to 63,780 and 138,618 is: 301,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,780 : 138,618 = 138,618 : x
  2. Step 2: Convert to fraction form
    63,780/138,618 = 138,618/x
  3. Step 3: Cross multiply
    63,780x = 138,618 × 138,618
  4. Step 4: Simplify right side
    63,780x = 19,214,949,924
  5. Step 5: Solve for x
    x = 19,214,949,924/63,780
  6. Step 6: Final answer
    x = 301,269.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.