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Finding the Third Proportional to 61,263 and 89,463

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Solution

The third proportional to 61,263 and 89,463 is: 130,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,263 : 89,463 = 89,463 : x
  2. Step 2: Convert to fraction form
    61,263/89,463 = 89,463/x
  3. Step 3: Cross multiply
    61,263x = 89,463 × 89,463
  4. Step 4: Simplify right side
    61,263x = 8,003,628,369
  5. Step 5: Solve for x
    x = 8,003,628,369/61,263
  6. Step 6: Final answer
    x = 130,643.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.