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Finding the Third Proportional to 50,068.50 and 77,499

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Solution

The third proportional to 50,068.50 and 77,499 is: 119,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,068.50 : 77,499 = 77,499 : x
  2. Step 2: Convert to fraction form
    50,068.50/77,499 = 77,499/x
  3. Step 3: Cross multiply
    50,068.50x = 77,499 × 77,499
  4. Step 4: Simplify right side
    50,068.50x = 6,006,095,001
  5. Step 5: Solve for x
    x = 6,006,095,001/50,068.50
  6. Step 6: Final answer
    x = 119,957.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.