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Finding the Third Proportional to 106,320 and 141,862

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Solution

The third proportional to 106,320 and 141,862 is: 189,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,320 : 141,862 = 141,862 : x
  2. Step 2: Convert to fraction form
    106,320/141,862 = 141,862/x
  3. Step 3: Cross multiply
    106,320x = 141,862 × 141,862
  4. Step 4: Simplify right side
    106,320x = 20,124,827,044
  5. Step 5: Solve for x
    x = 20,124,827,044/106,320
  6. Step 6: Final answer
    x = 189,285.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.