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Finding the Third Proportional to 30,144 and 63,528

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Solution

The third proportional to 30,144 and 63,528 is: 133,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144 : 63,528 = 63,528 : x
  2. Step 2: Convert to fraction form
    30,144/63,528 = 63,528/x
  3. Step 3: Cross multiply
    30,144x = 63,528 × 63,528
  4. Step 4: Simplify right side
    30,144x = 4,035,806,784
  5. Step 5: Solve for x
    x = 4,035,806,784/30,144
  6. Step 6: Final answer
    x = 133,884.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.