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Finding the Third Proportional to 105,273 and 142,924.50

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Solution

The third proportional to 105,273 and 142,924.50 is: 194,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,273 : 142,924.50 = 142,924.50 : x
  2. Step 2: Convert to fraction form
    105,273/142,924.50 = 142,924.50/x
  3. Step 3: Cross multiply
    105,273x = 142,924.50 × 142,924.50
  4. Step 4: Simplify right side
    105,273x = 20,427,412,700.25
  5. Step 5: Solve for x
    x = 20,427,412,700.25/105,273
  6. Step 6: Final answer
    x = 194,042.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.