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Finding the Third Proportional to 93,634.50 and 144,822

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Solution

The third proportional to 93,634.50 and 144,822 is: 223,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,634.50 : 144,822 = 144,822 : x
  2. Step 2: Convert to fraction form
    93,634.50/144,822 = 144,822/x
  3. Step 3: Cross multiply
    93,634.50x = 144,822 × 144,822
  4. Step 4: Simplify right side
    93,634.50x = 20,973,411,684
  5. Step 5: Solve for x
    x = 20,973,411,684/93,634.50
  6. Step 6: Final answer
    x = 223,992.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.