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Finding the Third Proportional to 72,337 and 158,033

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Solution

The third proportional to 72,337 and 158,033 is: 345,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,337 : 158,033 = 158,033 : x
  2. Step 2: Convert to fraction form
    72,337/158,033 = 158,033/x
  3. Step 3: Cross multiply
    72,337x = 158,033 × 158,033
  4. Step 4: Simplify right side
    72,337x = 24,974,429,089
  5. Step 5: Solve for x
    x = 24,974,429,089/72,337
  6. Step 6: Final answer
    x = 345,251.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.