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Finding the Third Proportional to 77,343 and 123,069.13

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Solution

The third proportional to 77,343 and 123,069.13 is: 195,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,343 : 123,069.13 = 123,069.13 : x
  2. Step 2: Convert to fraction form
    77,343/123,069.13 = 123,069.13/x
  3. Step 3: Cross multiply
    77,343x = 123,069.13 × 123,069.13
  4. Step 4: Simplify right side
    77,343x = 15,146,009,528.27
  5. Step 5: Solve for x
    x = 15,146,009,528.27/77,343
  6. Step 6: Final answer
    x = 195,829.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.