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Finding the Third Proportional to 84,092 and 130,341

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Solution

The third proportional to 84,092 and 130,341 is: 202,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,092 : 130,341 = 130,341 : x
  2. Step 2: Convert to fraction form
    84,092/130,341 = 130,341/x
  3. Step 3: Cross multiply
    84,092x = 130,341 × 130,341
  4. Step 4: Simplify right side
    84,092x = 16,988,776,281
  5. Step 5: Solve for x
    x = 16,988,776,281/84,092
  6. Step 6: Final answer
    x = 202,026.07

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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.