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Finding the Third Proportional to 59,316 and 140,014

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Solution

The third proportional to 59,316 and 140,014 is: 330,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,316 : 140,014 = 140,014 : x
  2. Step 2: Convert to fraction form
    59,316/140,014 = 140,014/x
  3. Step 3: Cross multiply
    59,316x = 140,014 × 140,014
  4. Step 4: Simplify right side
    59,316x = 19,603,920,196
  5. Step 5: Solve for x
    x = 19,603,920,196/59,316
  6. Step 6: Final answer
    x = 330,499.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.