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Finding the Third Proportional to 84,381.75 and 130,827.02

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Solution

The third proportional to 84,381.75 and 130,827.02 is: 202,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.75 : 130,827.02 = 130,827.02 : x
  2. Step 2: Convert to fraction form
    84,381.75/130,827.02 = 130,827.02/x
  3. Step 3: Cross multiply
    84,381.75x = 130,827.02 × 130,827.02
  4. Step 4: Simplify right side
    84,381.75x = 17,115,710,061.52
  5. Step 5: Solve for x
    x = 17,115,710,061.52/84,381.75
  6. Step 6: Final answer
    x = 202,836.63

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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.