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Finding the Third Proportional to 50,952 and 77,520

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Solution

The third proportional to 50,952 and 77,520 is: 117,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,952 : 77,520 = 77,520 : x
  2. Step 2: Convert to fraction form
    50,952/77,520 = 77,520/x
  3. Step 3: Cross multiply
    50,952x = 77,520 × 77,520
  4. Step 4: Simplify right side
    50,952x = 6,009,350,400
  5. Step 5: Solve for x
    x = 6,009,350,400/50,952
  6. Step 6: Final answer
    x = 117,941.40

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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.