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Finding the Third Proportional to 101,950.50 and 237,033

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Solution

The third proportional to 101,950.50 and 237,033 is: 551,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,950.50 : 237,033 = 237,033 : x
  2. Step 2: Convert to fraction form
    101,950.50/237,033 = 237,033/x
  3. Step 3: Cross multiply
    101,950.50x = 237,033 × 237,033
  4. Step 4: Simplify right side
    101,950.50x = 56,184,643,089
  5. Step 5: Solve for x
    x = 56,184,643,089/101,950.50
  6. Step 6: Final answer
    x = 551,097.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.