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Finding the Third Proportional to 63,089.72 and 96,973.17

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Solution

The third proportional to 63,089.72 and 96,973.17 is: 149,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,089.72 : 96,973.17 = 96,973.17 : x
  2. Step 2: Convert to fraction form
    63,089.72/96,973.17 = 96,973.17/x
  3. Step 3: Cross multiply
    63,089.72x = 96,973.17 × 96,973.17
  4. Step 4: Simplify right side
    63,089.72x = 9,403,796,063.50
  5. Step 5: Solve for x
    x = 9,403,796,063.50/63,089.72
  6. Step 6: Final answer
    x = 149,054.33

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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.