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Finding the Third Proportional to 50,332.50 and 77,076

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Solution

The third proportional to 50,332.50 and 77,076 is: 118,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332.50 : 77,076 = 77,076 : x
  2. Step 2: Convert to fraction form
    50,332.50/77,076 = 77,076/x
  3. Step 3: Cross multiply
    50,332.50x = 77,076 × 77,076
  4. Step 4: Simplify right side
    50,332.50x = 5,940,709,776
  5. Step 5: Solve for x
    x = 5,940,709,776/50,332.50
  6. Step 6: Final answer
    x = 118,029.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.