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Finding the Third Proportional to 59,490 and 79,309.50

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Solution

The third proportional to 59,490 and 79,309.50 is: 105,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,490 : 79,309.50 = 79,309.50 : x
  2. Step 2: Convert to fraction form
    59,490/79,309.50 = 79,309.50/x
  3. Step 3: Cross multiply
    59,490x = 79,309.50 × 79,309.50
  4. Step 4: Simplify right side
    59,490x = 6,289,996,790.25
  5. Step 5: Solve for x
    x = 6,289,996,790.25/59,490
  6. Step 6: Final answer
    x = 105,732.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.