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Finding the Third Proportional to 63,547.88 and 136,945.69

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Solution

The third proportional to 63,547.88 and 136,945.69 is: 295,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,547.88 : 136,945.69 = 136,945.69 : x
  2. Step 2: Convert to fraction form
    63,547.88/136,945.69 = 136,945.69/x
  3. Step 3: Cross multiply
    63,547.88x = 136,945.69 × 136,945.69
  4. Step 4: Simplify right side
    63,547.88x = 18,754,121,324.85
  5. Step 5: Solve for x
    x = 18,754,121,324.85/63,547.88
  6. Step 6: Final answer
    x = 295,117.99

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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.