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Finding the Third Proportional to 74,769 and 114,507

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Solution

The third proportional to 74,769 and 114,507 is: 175,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,769 : 114,507 = 114,507 : x
  2. Step 2: Convert to fraction form
    74,769/114,507 = 114,507/x
  3. Step 3: Cross multiply
    74,769x = 114,507 × 114,507
  4. Step 4: Simplify right side
    74,769x = 13,111,853,049
  5. Step 5: Solve for x
    x = 13,111,853,049/74,769
  6. Step 6: Final answer
    x = 175,364.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.