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Finding the Third Proportional to 92,384 and 147,004

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Solution

The third proportional to 92,384 and 147,004 is: 233,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,384 : 147,004 = 147,004 : x
  2. Step 2: Convert to fraction form
    92,384/147,004 = 147,004/x
  3. Step 3: Cross multiply
    92,384x = 147,004 × 147,004
  4. Step 4: Simplify right side
    92,384x = 21,610,176,016
  5. Step 5: Solve for x
    x = 21,610,176,016/92,384
  6. Step 6: Final answer
    x = 233,916.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.