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Finding the Third Proportional to 51,884 and 77,070

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Solution

The third proportional to 51,884 and 77,070 is: 114,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884 : 77,070 = 77,070 : x
  2. Step 2: Convert to fraction form
    51,884/77,070 = 77,070/x
  3. Step 3: Cross multiply
    51,884x = 77,070 × 77,070
  4. Step 4: Simplify right side
    51,884x = 5,939,784,900
  5. Step 5: Solve for x
    x = 5,939,784,900/51,884
  6. Step 6: Final answer
    x = 114,482.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.