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Finding the Third Proportional to 119,907.50 and 259,026.50

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Solution

The third proportional to 119,907.50 and 259,026.50 is: 559,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,907.50 : 259,026.50 = 259,026.50 : x
  2. Step 2: Convert to fraction form
    119,907.50/259,026.50 = 259,026.50/x
  3. Step 3: Cross multiply
    119,907.50x = 259,026.50 × 259,026.50
  4. Step 4: Simplify right side
    119,907.50x = 67,094,727,702.25
  5. Step 5: Solve for x
    x = 67,094,727,702.25/119,907.50
  6. Step 6: Final answer
    x = 559,554.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.