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Finding the Third Proportional to 61,370 and 83,306

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Solution

The third proportional to 61,370 and 83,306 is: 113,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,370 : 83,306 = 83,306 : x
  2. Step 2: Convert to fraction form
    61,370/83,306 = 83,306/x
  3. Step 3: Cross multiply
    61,370x = 83,306 × 83,306
  4. Step 4: Simplify right side
    61,370x = 6,939,889,636
  5. Step 5: Solve for x
    x = 6,939,889,636/61,370
  6. Step 6: Final answer
    x = 113,082.77

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Why These Related Problems?

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