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Finding the Third Proportional to 77,584 and 101,037

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Solution

The third proportional to 77,584 and 101,037 is: 131,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584 : 101,037 = 101,037 : x
  2. Step 2: Convert to fraction form
    77,584/101,037 = 101,037/x
  3. Step 3: Cross multiply
    77,584x = 101,037 × 101,037
  4. Step 4: Simplify right side
    77,584x = 10,208,475,369
  5. Step 5: Solve for x
    x = 10,208,475,369/77,584
  6. Step 6: Final answer
    x = 131,579.65

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.