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Finding the Third Proportional to 64,692 and 137,160

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Solution

The third proportional to 64,692 and 137,160 is: 290,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,692 : 137,160 = 137,160 : x
  2. Step 2: Convert to fraction form
    64,692/137,160 = 137,160/x
  3. Step 3: Cross multiply
    64,692x = 137,160 × 137,160
  4. Step 4: Simplify right side
    64,692x = 18,812,865,600
  5. Step 5: Solve for x
    x = 18,812,865,600/64,692
  6. Step 6: Final answer
    x = 290,806.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.