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Finding the Third Proportional to 84,184 and 130,703

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Solution

The third proportional to 84,184 and 130,703 is: 202,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,184 : 130,703 = 130,703 : x
  2. Step 2: Convert to fraction form
    84,184/130,703 = 130,703/x
  3. Step 3: Cross multiply
    84,184x = 130,703 × 130,703
  4. Step 4: Simplify right side
    84,184x = 17,083,274,209
  5. Step 5: Solve for x
    x = 17,083,274,209/84,184
  6. Step 6: Final answer
    x = 202,927.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.