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Finding the Third Proportional to 54,282 and 74,700

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Solution

The third proportional to 54,282 and 74,700 is: 102,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,282 : 74,700 = 74,700 : x
  2. Step 2: Convert to fraction form
    54,282/74,700 = 74,700/x
  3. Step 3: Cross multiply
    54,282x = 74,700 × 74,700
  4. Step 4: Simplify right side
    54,282x = 5,580,090,000
  5. Step 5: Solve for x
    x = 5,580,090,000/54,282
  6. Step 6: Final answer
    x = 102,798.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.