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Finding the Third Proportional to 84,383 and 130,828.50

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Solution

The third proportional to 84,383 and 130,828.50 is: 202,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383 : 130,828.50 = 130,828.50 : x
  2. Step 2: Convert to fraction form
    84,383/130,828.50 = 130,828.50/x
  3. Step 3: Cross multiply
    84,383x = 130,828.50 × 130,828.50
  4. Step 4: Simplify right side
    84,383x = 17,116,096,412.25
  5. Step 5: Solve for x
    x = 17,116,096,412.25/84,383
  6. Step 6: Final answer
    x = 202,838.21

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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.