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Finding the Third Proportional to 137,784 and 195,033

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Solution

The third proportional to 137,784 and 195,033 is: 276,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,784 : 195,033 = 195,033 : x
  2. Step 2: Convert to fraction form
    137,784/195,033 = 195,033/x
  3. Step 3: Cross multiply
    137,784x = 195,033 × 195,033
  4. Step 4: Simplify right side
    137,784x = 38,037,871,089
  5. Step 5: Solve for x
    x = 38,037,871,089/137,784
  6. Step 6: Final answer
    x = 276,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.