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Finding the Third Proportional to 106,564 and 153,502

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Solution

The third proportional to 106,564 and 153,502 is: 221,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564 : 153,502 = 153,502 : x
  2. Step 2: Convert to fraction form
    106,564/153,502 = 153,502/x
  3. Step 3: Cross multiply
    106,564x = 153,502 × 153,502
  4. Step 4: Simplify right side
    106,564x = 23,562,864,004
  5. Step 5: Solve for x
    x = 23,562,864,004/106,564
  6. Step 6: Final answer
    x = 221,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.