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Finding the Third Proportional to 89,085 and 130,711

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Solution

The third proportional to 89,085 and 130,711 is: 191,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,085 : 130,711 = 130,711 : x
  2. Step 2: Convert to fraction form
    89,085/130,711 = 130,711/x
  3. Step 3: Cross multiply
    89,085x = 130,711 × 130,711
  4. Step 4: Simplify right side
    89,085x = 17,085,365,521
  5. Step 5: Solve for x
    x = 17,085,365,521/89,085
  6. Step 6: Final answer
    x = 191,787.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.