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Finding the Third Proportional to 50,484.50 and 78,389.50

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Solution

The third proportional to 50,484.50 and 78,389.50 is: 121,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,484.50 : 78,389.50 = 78,389.50 : x
  2. Step 2: Convert to fraction form
    50,484.50/78,389.50 = 78,389.50/x
  3. Step 3: Cross multiply
    50,484.50x = 78,389.50 × 78,389.50
  4. Step 4: Simplify right side
    50,484.50x = 6,144,913,710.25
  5. Step 5: Solve for x
    x = 6,144,913,710.25/50,484.50
  6. Step 6: Final answer
    x = 121,718.82

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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.