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Finding the Third Proportional to 95,564 and 143,316

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Solution

The third proportional to 95,564 and 143,316 is: 214,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,564 : 143,316 = 143,316 : x
  2. Step 2: Convert to fraction form
    95,564/143,316 = 143,316/x
  3. Step 3: Cross multiply
    95,564x = 143,316 × 143,316
  4. Step 4: Simplify right side
    95,564x = 20,539,475,856
  5. Step 5: Solve for x
    x = 20,539,475,856/95,564
  6. Step 6: Final answer
    x = 214,929.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.