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Finding the Third Proportional to 51,294 and 77,278.50

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Solution

The third proportional to 51,294 and 77,278.50 is: 116,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,294 : 77,278.50 = 77,278.50 : x
  2. Step 2: Convert to fraction form
    51,294/77,278.50 = 77,278.50/x
  3. Step 3: Cross multiply
    51,294x = 77,278.50 × 77,278.50
  4. Step 4: Simplify right side
    51,294x = 5,971,966,562.25
  5. Step 5: Solve for x
    x = 5,971,966,562.25/51,294
  6. Step 6: Final answer
    x = 116,426.22

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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.