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Finding the Third Proportional to 84,620 and 130,599

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Solution

The third proportional to 84,620 and 130,599 is: 201,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,620 : 130,599 = 130,599 : x
  2. Step 2: Convert to fraction form
    84,620/130,599 = 130,599/x
  3. Step 3: Cross multiply
    84,620x = 130,599 × 130,599
  4. Step 4: Simplify right side
    84,620x = 17,056,098,801
  5. Step 5: Solve for x
    x = 17,056,098,801/84,620
  6. Step 6: Final answer
    x = 201,561.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.