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Finding the Third Proportional to 69,254 and 148,108

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Solution

The third proportional to 69,254 and 148,108 is: 316,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,254 : 148,108 = 148,108 : x
  2. Step 2: Convert to fraction form
    69,254/148,108 = 148,108/x
  3. Step 3: Cross multiply
    69,254x = 148,108 × 148,108
  4. Step 4: Simplify right side
    69,254x = 21,935,979,664
  5. Step 5: Solve for x
    x = 21,935,979,664/69,254
  6. Step 6: Final answer
    x = 316,746.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.