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Finding the Third Proportional to 73,807.50 and 157,281

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Solution

The third proportional to 73,807.50 and 157,281 is: 335,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,807.50 : 157,281 = 157,281 : x
  2. Step 2: Convert to fraction form
    73,807.50/157,281 = 157,281/x
  3. Step 3: Cross multiply
    73,807.50x = 157,281 × 157,281
  4. Step 4: Simplify right side
    73,807.50x = 24,737,312,961
  5. Step 5: Solve for x
    x = 24,737,312,961/73,807.50
  6. Step 6: Final answer
    x = 335,159.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.