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Finding the Third Proportional to 88,848 and 133,528

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Solution

The third proportional to 88,848 and 133,528 is: 200,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,848 : 133,528 = 133,528 : x
  2. Step 2: Convert to fraction form
    88,848/133,528 = 133,528/x
  3. Step 3: Cross multiply
    88,848x = 133,528 × 133,528
  4. Step 4: Simplify right side
    88,848x = 17,829,726,784
  5. Step 5: Solve for x
    x = 17,829,726,784/88,848
  6. Step 6: Final answer
    x = 200,676.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.