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Finding the Third Proportional to 50,499 and 70,807.50

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Solution

The third proportional to 50,499 and 70,807.50 is: 99,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,499 : 70,807.50 = 70,807.50 : x
  2. Step 2: Convert to fraction form
    50,499/70,807.50 = 70,807.50/x
  3. Step 3: Cross multiply
    50,499x = 70,807.50 × 70,807.50
  4. Step 4: Simplify right side
    50,499x = 5,013,702,056.25
  5. Step 5: Solve for x
    x = 5,013,702,056.25/50,499
  6. Step 6: Final answer
    x = 99,283.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.