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Finding the Third Proportional to 83,790 and 130,330

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Solution

The third proportional to 83,790 and 130,330 is: 202,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,790 : 130,330 = 130,330 : x
  2. Step 2: Convert to fraction form
    83,790/130,330 = 130,330/x
  3. Step 3: Cross multiply
    83,790x = 130,330 × 130,330
  4. Step 4: Simplify right side
    83,790x = 16,985,908,900
  5. Step 5: Solve for x
    x = 16,985,908,900/83,790
  6. Step 6: Final answer
    x = 202,720.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.