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Finding the Third Proportional to 101,564 and 209,572

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Solution

The third proportional to 101,564 and 209,572 is: 432,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564 : 209,572 = 209,572 : x
  2. Step 2: Convert to fraction form
    101,564/209,572 = 209,572/x
  3. Step 3: Cross multiply
    101,564x = 209,572 × 209,572
  4. Step 4: Simplify right side
    101,564x = 43,920,423,184
  5. Step 5: Solve for x
    x = 43,920,423,184/101,564
  6. Step 6: Final answer
    x = 432,440.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.