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Finding the Third Proportional to 72,653.84 and 153,950.63

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Solution

The third proportional to 72,653.84 and 153,950.63 is: 326,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,653.84 : 153,950.63 = 153,950.63 : x
  2. Step 2: Convert to fraction form
    72,653.84/153,950.63 = 153,950.63/x
  3. Step 3: Cross multiply
    72,653.84x = 153,950.63 × 153,950.63
  4. Step 4: Simplify right side
    72,653.84x = 23,700,794,937.89
  5. Step 5: Solve for x
    x = 23,700,794,937.89/72,653.84
  6. Step 6: Final answer
    x = 326,215.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.