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Finding the Third Proportional to 52,834 and 77,633

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Solution

The third proportional to 52,834 and 77,633 is: 114,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,834 : 77,633 = 77,633 : x
  2. Step 2: Convert to fraction form
    52,834/77,633 = 77,633/x
  3. Step 3: Cross multiply
    52,834x = 77,633 × 77,633
  4. Step 4: Simplify right side
    52,834x = 6,026,882,689
  5. Step 5: Solve for x
    x = 6,026,882,689/52,834
  6. Step 6: Final answer
    x = 114,072.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.