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Finding the Third Proportional to 63,547.88 and 138,162.38

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Solution

The third proportional to 63,547.88 and 138,162.38 is: 300,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,547.88 : 138,162.38 = 138,162.38 : x
  2. Step 2: Convert to fraction form
    63,547.88/138,162.38 = 138,162.38/x
  3. Step 3: Cross multiply
    63,547.88x = 138,162.38 × 138,162.38
  4. Step 4: Simplify right side
    63,547.88x = 19,088,841,865.64
  5. Step 5: Solve for x
    x = 19,088,841,865.64/63,547.88
  6. Step 6: Final answer
    x = 300,385.21

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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.