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Finding the Third Proportional to 51,132 and 77,490

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Solution

The third proportional to 51,132 and 77,490 is: 117,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 77,490 = 77,490 : x
  2. Step 2: Convert to fraction form
    51,132/77,490 = 77,490/x
  3. Step 3: Cross multiply
    51,132x = 77,490 × 77,490
  4. Step 4: Simplify right side
    51,132x = 6,004,700,100
  5. Step 5: Solve for x
    x = 6,004,700,100/51,132
  6. Step 6: Final answer
    x = 117,435.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.