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Finding the Third Proportional to 102,017 and 239,959.50

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Solution

The third proportional to 102,017 and 239,959.50 is: 564,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,017 : 239,959.50 = 239,959.50 : x
  2. Step 2: Convert to fraction form
    102,017/239,959.50 = 239,959.50/x
  3. Step 3: Cross multiply
    102,017x = 239,959.50 × 239,959.50
  4. Step 4: Simplify right side
    102,017x = 57,580,561,640.25
  5. Step 5: Solve for x
    x = 57,580,561,640.25/102,017
  6. Step 6: Final answer
    x = 564,421.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.