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Finding the Third Proportional to 102,730.50 and 151,326

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Solution

The third proportional to 102,730.50 and 151,326 is: 222,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,730.50 : 151,326 = 151,326 : x
  2. Step 2: Convert to fraction form
    102,730.50/151,326 = 151,326/x
  3. Step 3: Cross multiply
    102,730.50x = 151,326 × 151,326
  4. Step 4: Simplify right side
    102,730.50x = 22,899,558,276
  5. Step 5: Solve for x
    x = 22,899,558,276/102,730.50
  6. Step 6: Final answer
    x = 222,909.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.