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Finding the Third Proportional to 67,528 and 148,015

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Solution

The third proportional to 67,528 and 148,015 is: 324,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,528 : 148,015 = 148,015 : x
  2. Step 2: Convert to fraction form
    67,528/148,015 = 148,015/x
  3. Step 3: Cross multiply
    67,528x = 148,015 × 148,015
  4. Step 4: Simplify right side
    67,528x = 21,908,440,225
  5. Step 5: Solve for x
    x = 21,908,440,225/67,528
  6. Step 6: Final answer
    x = 324,434.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.