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Finding the Third Proportional to 63,089.82 and 96,973.14

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Solution

The third proportional to 63,089.82 and 96,973.14 is: 149,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,089.82 : 96,973.14 = 96,973.14 : x
  2. Step 2: Convert to fraction form
    63,089.82/96,973.14 = 96,973.14/x
  3. Step 3: Cross multiply
    63,089.82x = 96,973.14 × 96,973.14
  4. Step 4: Simplify right side
    63,089.82x = 9,403,789,245.07
  5. Step 5: Solve for x
    x = 9,403,789,245.07/63,089.82
  6. Step 6: Final answer
    x = 149,053.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.