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Finding the Third Proportional to 75,527 and 162,877

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Solution

The third proportional to 75,527 and 162,877 is: 351,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,527 : 162,877 = 162,877 : x
  2. Step 2: Convert to fraction form
    75,527/162,877 = 162,877/x
  3. Step 3: Cross multiply
    75,527x = 162,877 × 162,877
  4. Step 4: Simplify right side
    75,527x = 26,528,917,129
  5. Step 5: Solve for x
    x = 26,528,917,129/75,527
  6. Step 6: Final answer
    x = 351,250.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.