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Finding the Third Proportional to 89,332.50 and 189,033

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Solution

The third proportional to 89,332.50 and 189,033 is: 400,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,332.50 : 189,033 = 189,033 : x
  2. Step 2: Convert to fraction form
    89,332.50/189,033 = 189,033/x
  3. Step 3: Cross multiply
    89,332.50x = 189,033 × 189,033
  4. Step 4: Simplify right side
    89,332.50x = 35,733,475,089
  5. Step 5: Solve for x
    x = 35,733,475,089/89,332.50
  6. Step 6: Final answer
    x = 400,005.32

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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.