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Finding the Third Proportional to 78,127 and 102,306

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Solution

The third proportional to 78,127 and 102,306 is: 133,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127 : 102,306 = 102,306 : x
  2. Step 2: Convert to fraction form
    78,127/102,306 = 102,306/x
  3. Step 3: Cross multiply
    78,127x = 102,306 × 102,306
  4. Step 4: Simplify right side
    78,127x = 10,466,517,636
  5. Step 5: Solve for x
    x = 10,466,517,636/78,127
  6. Step 6: Final answer
    x = 133,968.00

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.