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Finding the Third Proportional to 77,912 and 123,528

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Solution

The third proportional to 77,912 and 123,528 is: 195,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,912 : 123,528 = 123,528 : x
  2. Step 2: Convert to fraction form
    77,912/123,528 = 123,528/x
  3. Step 3: Cross multiply
    77,912x = 123,528 × 123,528
  4. Step 4: Simplify right side
    77,912x = 15,259,166,784
  5. Step 5: Solve for x
    x = 15,259,166,784/77,912
  6. Step 6: Final answer
    x = 195,851.30

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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.