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Finding the Third Proportional to 68,275 and 148,534

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Solution

The third proportional to 68,275 and 148,534 is: 323,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275 : 148,534 = 148,534 : x
  2. Step 2: Convert to fraction form
    68,275/148,534 = 148,534/x
  3. Step 3: Cross multiply
    68,275x = 148,534 × 148,534
  4. Step 4: Simplify right side
    68,275x = 22,062,349,156
  5. Step 5: Solve for x
    x = 22,062,349,156/68,275
  6. Step 6: Final answer
    x = 323,139.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.