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Finding the Third Proportional to 51,414 and 77,767.50

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Solution

The third proportional to 51,414 and 77,767.50 is: 117,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,414 : 77,767.50 = 77,767.50 : x
  2. Step 2: Convert to fraction form
    51,414/77,767.50 = 77,767.50/x
  3. Step 3: Cross multiply
    51,414x = 77,767.50 × 77,767.50
  4. Step 4: Simplify right side
    51,414x = 6,047,784,056.25
  5. Step 5: Solve for x
    x = 6,047,784,056.25/51,414
  6. Step 6: Final answer
    x = 117,629.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.