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Finding the Third Proportional to 50,310 and 79,597.50

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Solution

The third proportional to 50,310 and 79,597.50 is: 125,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,310 : 79,597.50 = 79,597.50 : x
  2. Step 2: Convert to fraction form
    50,310/79,597.50 = 79,597.50/x
  3. Step 3: Cross multiply
    50,310x = 79,597.50 × 79,597.50
  4. Step 4: Simplify right side
    50,310x = 6,335,762,006.25
  5. Step 5: Solve for x
    x = 6,335,762,006.25/50,310
  6. Step 6: Final answer
    x = 125,934.45

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.